CBSE Class 11 Motion in Straight Line Worksheet B

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Question. A ball is released from the top of a tower of height h meters.
It takes T seconds to reach the ground. What is the position of the ball at T/3 second
(a) 8h/9 meters from the ground
(b) 7h/9 meters from the ground
(c) h/9 meters from the ground
(d) 17h/18 meters from the ground

Answer: A

Question. The motion of particle is described by the equation x = a + bt², where a = 15 cm and b = 3 cm/sec². Its instant velocity at time 3 sec will be
(a) 36 cm/sec
(b) 9 cm/sec
(c) 4.5 cm/sec
(d) 18 cm/sec

Answer: D

Question. Which one of the following equation represents the motion of a body moving with constant finite acceleration? In these equation, y denotes the displacement in time t and p, q and r are constant:
(a) y = (p + qt )(t + pt)
(b) y = p + t/r
(c) y = (p + t) (q + t ) (r + t)
(d) y = (p+qt)/rt

Answer: A

Question. A balloon starts rising from the ground with an acceleration of 1.25 ms^–2. After 8 s, a stone is released from the balloon.
The stone will (Taking g = 10 m s^–2)
(a) begin to move down after being released
(b) reach the ground in 4 s
(c) cover a distance of 40 m in reaching the ground
(d) will have a displacement of 50 m.

Answer: B

Question. A point initially at rest moves along x-axis. Its acceleration varies with time as a = (6t + 5)m / s² . If it starts from origin, the distance covered in 2 s is
(a) 20 m
(b) 18 m
(c) 16 m
(d) 25 m

Answer: B

Question. A car travelling at a speed of 30 km h–1 is brought to a halt in 8 m by applying brakes. If the same car is travelling at 60 km h–1, it can be brought to a halt with the same braking power in
(a) 32 m
(b) 24 m
(c) 16 m
(d) 8 cm

Answer: A

Question. A lift is coming from 8th floor and is just about to reach 4th floor. Taking ground floor as origin and positive direction upwards for all quantities, which one of the following is correct?
(a) x < 0, v < 0, a > 0
(b) x > 0, v < 0, a < 0
(c) x > 0, v < 0, a > 0
(d) x > 0, v > 0, a < 0

Answer: A

Question. A train is moving towards east and a car is along north, both with same speed. The observed direction of car to the passenger in the train is
(a) east-north direction
(b) west-north direction
(c) south-east direction
(d) None of the above

Answer: B

Question. A metro train starts from rest and in 5 s achieves 108 km/h. After that it moves with constant velocity and comes to rest after travelling 45 m with uniform retardation. If total distance travelled is 395 m, find total time of travelling.
(a) 12.2 s
(b) 15.3 s
(c) 9 s
(d) 17.2 s

Answer: D

Question. A stone falls freely under gravity. It covers distances h₁, h₂ and h₃ in the first 5 seconds, the next 5 seconds and the next 5 seconds respectively. The relation between h₁, h₂ and h₃ is
(a) h₁ = h₂/3 = h₃/5
(b) h₂ = 3h₁ and h₃ = 3h₂
(c) h₁ = h₂ = h₃
(d) h1 = 2h₂ = 3h₃

Answer: A

Question. The displacement of particle is given by x = a₀ + a₁t/2 - a₂t²/3. What is its acceleration?
(a) 2a₂/3
(b) -2a₂/3
(c) a₂
(d) zero

Answer: B

Question. A lift in which a man is standing, is moving upwards with a speed of 10 ms–1. The man drops a coin from a height of 4.9 metre and if g = 9.8 ms–2, then the coin reaches the floor of the lift after a time
(a) √2 s
(b) 1 s
(c) 1/2
(d) 1/√2

Answer: B

Question. A food packet is released from a helicopter rising steadily at the speed of 2 m/sec. After 2 seconds the velocity of the packet is
(g = 10 m/sec²)
(a) 22 m/sec
(b) 20 m/sec
(c) 18 m/sec
(d) none of these

Answer: C

Question. A stone is just released from the window of a train moving along a horizontal straight track. The stone will hit the ground following a
(a) straight line path
(b) circular path
(c) parabolic path
(d) hyperbolic path

Answer: C

Question. A ball is thrown up with velocity 19.6 m/s. The maximum height attained by the ball is
(a) 29.2 m
(b) 9.8 m
(c) 19.6 m
(d) 15.8 m

Answer: C

Question. If a car at rest accelerates uniformly to a speed of 144 km/h in 20 sec., it covers a distance of
(a) 20 cm
(b) 400 m
(c) 1440 cm
(d) 2980 cm

Answer: B

Question. The water drops fall at regular intervals from a tap 5 m above the ground. The third drop is leaving the tap at an instant when the first drop touches the ground. How far above the ground is the second drop at that instant ?
(Take g = 10 m/s²)
(a) 1.25 m
(b) 2.50 m
(c) 3.75 m
(d) 5.00 m

Answer: C 

Question. The displacement time graph of a moving particle is shown below 

The instantaneous velocity of the particle is negative at the point
(a) D
(b) F
(c) C
(d) E

Answer: D

Question. A particle moves along a straight line such that its displacement at any time t is given by s = (t³ – 6t² + 3t + 4) metres The velocity when the acceleration is zero is
(a) 3 ms^–1
(b) – 12 ms^–1
(c) 42 ms^–2
(d) – 9 ms^–1

Answer: D

Question. Figure here gives the speed-time graph for a body. The displacement travelled between t = 1.0 second and t = 7.0 second is nearest to 

(a) 1.5 m
(b) 2 m
(c) 3 m
(d) 4 m

Answer: B

Question. A particle moves along a straight line OX. At a time t (in second) the distance x (in metre) of the particle from O is given by x = 40 + 12t – t3. How long would the particle travel before coming to rest?
(a) 24 m
(b) 40 m
(c) 56 m
(d) 16 m

Answer: C

Question. A car moving with a speed of 40 km/hour can be stopped by applying brakes after at least 2m. If the same car is moving with a speed of 80km/hour, what is the minimum stopping distance.
(a) 8 m
(b) 6 m
(c) 4 m
(d) 2 m

Answer: A

Question. Which of the following curve does not represent motion in one dimension? 

Answer: B

Question. Among the four graph shown in the figure there is only one graph for which average velocity over the time interval (O, T) can vanish for a suitably chosen T. Which one is it? 

Answer: B

Question. In one dimensional motion, instantaneous speed v satisfies 0 ≤ v < v0.
(a) The displacement in time T must always take nonnegative values
(b) The displacement x in time T satisfies –v₀T < x < v₀T
(c) The acceleration is always a non-negative number
(d) The motion has no turning points

Answer: B

Question. Velocity time curve for a body projected vertically upwards is
(a) parabola
(b) ellipse
(c) hyperbola
(d) straight line

Answer: D

Question. A vehicle travels half the distance l with speed v₁ and the other half with speed v₂, then its average speed is
(a) v₁+v₂/2
(b) 2v₁+v₂/v₁+v₂
(c) 2v₁v₂/v₁+v₂
(d) L(v₁+v₂)/v₁v₂

Answer: C

Question. A train A which is 120 m long is running with velocity 20 m/s while train B which is 130 m long is running in opposite direction with velocity 30 m/s. What is the time taken by train B to cross the train A ?
(a) 5 sec
(b) 25 sec
(c) 10 sec
(d) 100 sec

Answer: A

Question. At a metro station, a girl walks up a stationary escalator in time t₁. If she remains stationary on the escalator, then the escalator take her up in time t₂. The time taken by her to walk up on the moving escalator will be
(a) t₁+t₂/2
(b) t₁t₂/t₂-t₁
(c) t₁t₂/t₂+t₁
(d) t₁ – t₂

Answer: C

Question. The displacement ‘x’ (in meter) of a particle of mass ‘m’ (in kg) moving in one dimension under the action of a force, is related to time ‘t’ (in sec) by t = √x + 3 . The displacement of the particle when its velocity is zero, will be 
(a) 2 m
(b) 4 m
(c) zero
(d) 6 m

Answer: C

Question. A boat takes 2 hours to travel 8 km and back in still water lake. With water velocity of 4 km h^–1, the time taken for going upstream of 8 km and coming back is
(a) 160 minutes
(b) 80 minutes
(c) 100 minutes
(d) 120 minutes

Answer: A

Question. If the velocity of a particle is v = At + Bt², where A and B are constants, then the distance travelled by it between 1s and 2s is :
(a) 3/2 A + 4B
(b) 3A + 7B
(c) 3/2 A+7/3B
(d) A/2 + B/3

Answer: C

Question. If a ball is thrown vertically upwards with a velocity of 40m/s, then velocity of the ball after two seconds is :
(g = 10 m/sec²)
(a) 15 m/s
(b) 20 m/s
(c) 25 m/s
(d) 28 m/s

Answer: B

Question. The displacement of a particle is given by x = (t – 2)² where x is in metre and t in second. The distance covered by the particle in first 4 seconds is
(a) 4 m
(b) 8 m
(c) 12 m
(d) 16 m

Answer: B

Question. A body starts from rest, what is the ratio of the distance travelled by the body during the 4th and 3rd seconds ?
(a) 7/5
(b) 5/7
(c) 7/3
(d) 3/7

Answer: A

Question. A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to v(x) = bx^–2n where b and n are constants and x is the position of the particle. The acceleration of the particle as d function of x, is given by:
(a) –2nb²x^–4n–1
(b) –2b²x^–2n+1
(c) –2nb²e^–4n+1
(d) –2nb²x^–2n–1

Answer: A

Each question contains

STATEMENT-1 and STATEMENT-2. Choose the correct answer (ONLY ONE option is correct ) from the following.
(a) Statement -1 is false, Statement-2 is true
(b) Statement -1 is true, Statement-2 is true; Statement -2 is a correct explanation for Statement-1
(c) Statement -1 is true, Statement-2 is true; Statement -2 is not a correct explanation for Statement-1
(d) Statement -1 is true, Statement-2 is false

Question. Statement 1 : In a free fall, weight of a body becomes effectively zero.
Statement 2 : Acceleration due to gravity acting on a body having free fall is zero.

Answer: D

Question. Statement 1 : Velocity-time graph for an object in uniform motion along a straight path is a straight line parallel to the time axis.
Statement 2 : In uniform motion of an object velocity increases as the square of time elapsed.

Answer: D

Question. Statement 1 : A positive acceleration can be associated with a ‘slowing down’ of the body.
Statement 2 : The origin and the positive direction of an axis are a matter of choice.

Answer: B

1. A railway train 400m long is going from New Delhi railway station to Kanpur.

Can we consider railway train as a point object

2. Shipra went from her home to school 2.5km away. On finding her home closed she returned to her home immediately. What is her net displacement? What is the total distance covered by her?

3. Can speed of an object be negative? Justify

4. What causes variation in velocity of a particle?

5. Figure. Shows displacement – time curves I and II. What conclusions do you draw from these graphs?

6. Displacement of a particle is given by the expression x = 3t² + 7t – 9, where x is in meter and t is in seconds. What is acceleration?

 7. A particle is thrown upwards. It attains a height (h) after 5 seconds and again after 9s comes back. What is the speed of the particle at a height h?

8. A police jeep on a petrol duty on national highway was moving with a speed of 54km/hr. in the same direction. It finds a thief rushing up in a car at a rate of 126km/hr in the same direction. Police sub – inspector fired at the car of the thief with his service revolver with a muzzle speed of 100m/s. with what speed will the bullet hit the car of thief?

9. Establish the relation Snth = u + a/2(2n -1) where the letters have their usual meanings.

10. A stone is dropped from the top of a cliff and is found to ravel 44.1m diving the last second before it reaches the ground. What is the height of the cliff? g = 9.8m/s²        

Click on link below to download CBSE Class 11 Motion in Straight Line Worksheet B.