IIT JEE/IIT JEE Description Of Motion In One Dimension part1 Sample Test,Sample questions

Question:
 balloon going upwards with a velocity of 12 m/s is at a height of 65 m from the earths surface at any instant. Exactly at this instant a packet is dropped from it. How much time will the packet take in reaching the surface of earth? (g = 10 m/second square)

1.7.5s

2.10s

3.5s

4.None of these


Question:
A 2m wide truck is moving with a uniform speed v = 8 m/s along a straight horizontal road. A pedestrian starts to cross the road with a uniform speed v when the truck is 4m away from him. The minimum value of v so that he can cross the road safely is:

1.2.62 m/s

2.4.6 m/s

3.3.57 m/s

4.1.414 m/s


Question:
A ball is released from the top of a tower of height h metre. It takes T seconds to reach the ground. What is the position of the ball in T/3 seconds?

1.h/9 metre from the ground

2.7h/9 metre from the ground

3.8h/9 metre from the ground

4.17 h/9 metre from the ground


Question:
A beaker containing water is balanced on the pan of a common balance. A solid of specific gravity one and mass 5g is tied on the arm of the balance and immersed in water contained in the beaker the scale pan with the beaker:

1.goes up

2.goes down

3.remains unchanged

4.none of these


Question:
A body is acted upon by a constant force. What is the nature of the displacement-time graph?

1.Straight line

2.Symmetric parabola

3.Asymmetric parabola

4.Rectangular hypherbola


Question:
A body is impaired motion rest to move in a straight line. If it is then obstructed by an opposite force then:

1.the body may necessarily change direction

2.the body is sure to slow down

3.the body will necessarily continue to move in the same direction at the same speed

4.None of the above


Question:
A body moving with uniform velocity is in equilibrium. This statement is:

1.TRUE

2.FALSE

3.may be true or false

4.none of these


Question:
A body relesed from the top of a tower falls through half the height of the tower in 2 s.In what time shall the body fall through the height of the tower ?

1.4 s

2.3.26 s

3.3.48 s

4.2.828 s


Question:
A body sliding on a smooth inclined plane requires 4 second to reach the bottom starting from rest at the top. How much time does it take to cover one-fourth the distance starting from rest at top ?

1.1 s

2.2 s

3.4 s

4.16 s


Question:
A bucket is placed in the open where the rain is falling vertically. If a wind begins to blow at double at velocity of the rain how will be rate of filling of the bucket change?

1.Remain unchanged

2.Doubled

3.Halved

4.Become four times


Question:
A car accelerates from rest at constant rate for t sec and covers a distance x. The distance moved by it in next t seconds will be:

1.x

2.2x

3.3x

4.4x


Question:
A car is going eastwards with a velocity of 8 m/s. To the passengers in the car a train appears to be moving north-wards with a velocity 15 m/s. What is the actual velocity of the train?

1.7 m/s

2.17 m/s

3.23 m/s

4.None of these


Question:
A car moves at 80 km/h in the first half of total time of motion and at 40 km/h in the later half. Its average speed is:

1.60 km/h

2.30 km/h

3.120 km/h

4.none of these


Question:
A car moving with a speed of 50 km/h can be stopped by brakes after at least 6m. If the came car is moving at a speed of 100 km/h the minimum stopping distance is:

1.12m

2.18m

3.6m

4.16m


Question:
A car starts from rest requires a velocity v with uniform acceleration 2 m/second square then it comes to stop with uniform retardation 4 m/second square If the total time for which it remains in motion is 3s the total distance traveled is:

1.2m

2.3m

3.4m

4.6m


Question:
A conveyor belt is moving horizontally at a speed of 4 m/s. A box of mass 20 kg is gently laid on it. It takes 0.1s for the box to come to rest. If the belt continues to move uniformly then the distance moved by the box on the conveyor belt is:

1.0 m

2.0.2 m

3.0.4 m

4.0.8 m


Question:
A juggler keeps on moving four balls in the air throws the balls in regular interval of time When one ball leaves his hand (speed = 20 m/s) the position of other balls will be: (Take g = 10 m/second square)

1.10m 20m 10m

2.15m 20m 15m

3.5m 15m 20m

4.5m 10m 20m


Question:
A parachutist jumps from an aeroplane moving with a velocity of u. Parachute opens and accelerates downwards with 2 m/second square. He reaches the ground with velocity 4 m/s. How long is the parachutist remained in the air?

1.1.5 m

2.2.5 m

3.4 m

4.none of these


Question:
A particle is moving on a straight line path with constant acceleration directed along the direction of instantaneous velocity. Which of following statements are false about the motion of particle?

1.Particle may reverse the direction of motion

2.Distance covered is not equal to magnitude of displacement

3.The magnitude of average velocity is less than average speed

4.All of the above


Question:
A particle is projected vertically upward in vacuum with a speed 40 m/s then velocity of particle when it reaches at maximum height 2s before is: (Take g = 10 m/second square)

1.20 m/s

2.4.2 m/s

3.9.8 m/s

4.none of these


Question:
A particle moves 200 cm in the first 2 s and 220 cm in the next 4 s with uniform deceleration The velocity of the particle at the end of 7s is:

1.15 cm/s

2.20 cm/s

3.10 cm/s

4.none of these


Question:
A particle moves along a circular path with constant speed. What is the nature of its acceleration?

1.It is zero

2.It is uniform

3.Its direction changes

4.ts magnitude changes


Question:
A particle moves along a straight line path After some time it comes to rest The motion is with constant acceleration whose direction with respect to the direction of velocity is:

1.positive throughout motion

2.negative throughout motion

3.first position then negative

4.first negative then positive


Question:
A particle starts from rest with acceleration 2 m/second square The acceleration of the particle decreases down to zero uniformly during time-interval of 4 s The velocity of particle after 2s is:

1.3 m/s

2.4 m/s

3.zero

4.8 m/s


Question:
A particle starts with a velocity of 2 m/s and moves in a straight line with a retardation of 0.1 m/second square. The time that it takes to describe 15m is:

1.10s in its backward journey

2.30s in its forward journey

3.10s in its forward journey

4.both B and C are correct


Question:
A passenger in a moving train tosses a coin. If the coin falls behind him the train must be moving with:

1.an acceleration

2.a deceleration

3.an uniform speed

4.any of these


Question:
A person walks up a stalled escalator in 90s. When standing on the same escalator now moving he is carried in 60s. The time it would take him to walk up the moving escalator will be:

1.27 s

2.72 s

3.18 s

4.36 s


Question:
A point particle starting from rest has a velocity that increases linearly with time such that v = pt where p = 4 m/second square . The distance covered in the first 2s will be:

1.6m

2.4 m/s

3.8 m

4.10 m


Question:
A river is flowing from west to east at a speed 15 m/s. A boy on the south bank of the river capable of swimming at 30 m/s in still water wants to swim cross the river in the shortest time. He should swim in direction?

1.due north

2.30 degree east of north

3.30 degree west of north

4.60 degree east of north


Question:
A stone is released from a hydrogen balloon going upwards with 12 m/s When it is at height of 65m from the ground time the stone will take to reach the ground is:

1.5s

2.6s

3.7s

4.8s


Question:
A stone is released from the top of a tower. It covers 24.5 m distance in the last second of its journey. What is the height of the tower .?

1.44.1 m

2.58.5 m

3.73.5 m

4.98 m


Question:
A stone is thrown vertically upwards from cliff with velocity 5 m/s. It strikes the pond near the base of cliff after 4s. The height of cliff is:

1.6 m

2.60 m

3.40 m

4.100 m


Question:
A train covers the first half of the distance between two stations at a speed of 40 km/h and the other half at 60 km/h Then its average speed is:

1.52 km

2.50 km

3.48 km

4.100 km


Question:
A train is moving eastwards with a velocity of 10 m/s On a parallel track another train passes with a velocity 15 m/s eastwards To the passengers in the second train the first train will appear to be moving with a velocity:

1.5 m/s westwards

2.5 m/s eastwards

3.20 m/s westwards

4.25 m/s eastwards


Question:
A train of 150 m length is going towards north direction at a speed of 10 m/s A parrot flies at a speed of 5 ms-1 towards south direction parallel to the railway track The time taken by the parrot to cross the train is equal to:

1.12s

2.8s

3.15s

4.10s


Question:
A train starts from station with an acceleration 1 m/second square. A boy is 48m behind the train with a constant velocity 10 m/s the minimum time after which the boy will catch the train is:

1.4.8 s

2.8 s

3.10 s

4.12 s


Question:
An automobile traveling with a speed of 60 km/h can brake to stop within a distance of 20m If the car is going twice as fast ie 120 km/h the stopping distance will be:

1.20m

2.40m

3.60m

4.80m


Question:
An object moves starting from rest through a resistive medium such that its acceleration is related to velocity as a = 3 ? 2v. Then:

1.the terminal velocity is 1.5 unit

2.the terminal velocity is 3 unit

3.the slope of a-v graph is not constant

4.initial acceleration is 2 unit


Question:
Balls are thrown vertically upward in such a way that the next ball is thrown when the previous one is at the maximum height. If the maximum height is 5m the number of balls thrown per minute will be: (Take g = 10 m/second square)

1.60

2.40

3.50

4.120


Question:
During the shooting of a super hit film MARD Amitabh Bachchan was waiting for his beloved Amrita Singh with his dog. When he saw her approaching the dog was excited and dashed to her than back to master and so on never stopping. How far would you estimate the dog ran if its speed is 30 km/h and each of them walked at 4 km/h starting from a distance 400m apart?

1.400m

2.880m

3.1500m

4.30 km


Question:
From an elevated point A a stone is projected vertically upwards. When the stone reaches a distance h below A its velocity is double of what it was at a height above A. The greatest height attained by the stone is:

1.h/3

2.2h/2

3.h/2

4.5h/3


Question:
If a body loses half of its velocity on penetrating 3 cm in a wooden block then how much will it penetrate more before coming to rest?

1.1cm

2.2cm

3.3cm

4.4cm


Question:
If the acceleration of a particle is the function of distance as a = f (x) then:

1.the velocity must be the function of displacement

2.the velocity versus displacement graph cannot be a straight line

3.the velocity may be the function of displacement

4.the acceleration versus displacement graph may be straight line


Question:
If the displacement of particle is zero then what can we say about its distance covered?

1.It must be zero

2.It can not be zero

3.It is negative

4.It may or may not be zero


Question:
If the time-displacement graph of a particle is parallel to the time-axis the velocity of particle is:

1.zero

2.infinity

3.variable

4.equal to its acceleration numerically


Question:
In the previous problem the distance traveled by the particle during the time interval of 4s is:

1.10.66 m

2.20m

3.20m

4.2m


Question:
Mark correct option or options.

1.Displacement may be equal to the distance

2.Displacement must be in the direction of the acceleration of the body

3.Displacement must not be in the direction of velocity

4.None of the above


Question:
Six persons are initially at the six corners of a hexagon of side a Each person now moves with a uniform speed v in such a manner that 1 is always directed towards 2 2 towards 3 3 towards 4 and so on The time after which they meet is:

1.2a/v

2.a/v

3.2a/2v

4.a/2v


Question:
Speed is to velocity as:

1.centimeter is to metre

2.force is to torque

3.velocity is to acceleration

4.distance is to displacement


Question:
Speeds of two identical cars are u and 4u at a specific instant. The ratio of the respective distances at which the two cars are stopped from that instant is:

1.1:01

2.1:04

3.1:08

4.1:16


Question:
The numerical ratio of velocity to speed is:

1.less than 0

2.less than 1

3.either greater than or equal to 1

4.either less than or equal to 1


Question:
The particles describe the same circle of radius a in the same sense with the same speed v. What is their relative angular velocity?

1.v/a

2.2v/a

3.v/2a

4.va


Question:
The time-displacement graph of a moving particle is a straight line Then:

1.its velocity may be uniform

2.its acceleration may be uniform

3.both its velocity and acceleration may be uniform

4.its acceleration may be variable


Question:
The velocity of a particle at an instant is 10 m/s. After 3s its velocity will become 16 m/s. The velocity at 2 s before the given instant will be:

1.6m/s

2.4m/s

3.2m/s

4.1m/s


Question:
Two cars move in the same direction along parallel roads. One of them is a 100 m long traveling with a velocity of 20 m/s. The second one is 200m long traveling with a velocity of 7.5 m/s. How long will it take for the first car to overtake the second car?

1.24 s

2.40 s

3.60 s

4.80 s


Question:
Two intersecting straight lines move parallel to themselves with speed 3 m/s and 4 m/s respectively The speed of the point of intersection of the lines if the angle between them is 90 degree will be:

1.5 m/s

2.3 m/s

3.4 m/s

4.none of these


Question:
Two particles start from rest simultaneously and are equally accelerated Throughout the motion the relative velocity of one wrt other is:

1.zero

2.non-zero and directed parallel to acceleration

3.non-zero and directed opposite to accelerationdirected perpendicular to the acceleration

4.none of these


Question:
Which of the following decreases in motion along a straight line with constant retardation?

1.Speed

2.Acceleration

3.Displacement

4.none of these


Question:
Which of the following in not an example of linear motion?

1.A book at rest

2.A body in uniform circular motion

3.Wheel rotating at uniform speed on road

4.A body rolling down an inclined plane


Question:
Which of the following statements is correct?When air resistance is not negligible the time ascent is greater than the time of descent

1.When air resistance is not negligible time of ascent is less than the time of descent

2.When air resistance is not negligible the time ascent is greater than the time of descent

3.When air resistance is not negligible the time of ascent is lesser than the time of descent

4.none of these


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