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MCQ on Motion in One Dimension for NEET Students
A train covers a 100-meter distance and stops when the brakes are applied. If the velocity of the train is just tripled and the same retarding force is applied, then the distance covered by the train is
(A) 200 m
(B) 900 m
(C) 400 m
(D) 600 m
Option b – 900 m
A stone is dropped from the balloon and reaches the ground in 20 seconds. Find the height of the balloon if it is rising up with a velocity of 30 m/s. (g = 10 m/s²)
(A) 1200 m
(B) 1400 m
(C) 1000 m
(D) 1800 m
Option b – 1400 m
An elevator car, whose floor-to-ceiling distance is equal to 3 m starts ascending with a constant acceleration of 2 m/s². Four seconds after the start, a bolt begins falling from the ceiling of the car. The free fall time of the bolt is (g = 10 m/s²)
(A) 0.964 s
(B) 3.14 s
(C) 1.414 s
(D) 0.7071 s
Option d – 0.7071 s
A bullet is fired with a speed of 500 m/s in order to hit a target 5 m away. If g = 10 m/s², the gun should be aimed
(A) directly toward the target
(B) 0.06 cm above the target
(C) 0.05 cm above the target
(D) 0.01 cm above the target
Option c – 0.05 cm above the target
How much time will a man take to catch a bus if the bus starts moving from rest with an acceleration of 2 m/s² when he is 50 m behind the bus and starts running at 15 m/s to catch the bus?
(A) 4 s
(B) 8 s
(C) 10 s
(D) 5 s
Option d – 5 s
Find the retardation of the particle when its velocity becomes zero if its motion along a straight line is given by x = 6 +8t-4t³
(A) 20 m/s²
(B) 15 m/s²
(C) 18 m/s²
(D) 14 m/s²
Option a – 20 m/s²
A body is thrown vertically upwards. If air resistance is to be taken into account, then the time during which the body rises is
(A) equal to the time of fall.
(B) less than the time of fall.
(C) greater than the time of fall.
(D) twice the time of fall.
Option b – less than the time of fall.
Calculate the instantaneous velocity of a particle at 4 s if it describes a motion of x = a + bt² where a = 6 cm and b = 4 cm/s².
(A) 32 cm/s
(B) 46 cm/s
(C) 16 cm/s
(D) 25 cm/s
Option a – 32 cm/s
Find the percentage increase in the displacement of a particle during the 5th second compared to that in the 4th second when it moves with constant acceleration along a straight line starting from rest.
(A) 28.57%
(B) 36.42%
(C) 46.43 %
(D) 54.63 %
Option a – 28.57%
Calculate the velocity of the particle at the end of 4 seconds, if the relation between displacement (x) and time (t) is x = 4t³ – 6t² +9t + 1 where x is in meters and t is in seconds.
(A) 112 m/s
(B) 164 m/s
(C) 256 m/s
(D) 153 m/s
Option d – 153 m/s
Calculate the time taken by a 200 m long train moving with a uniform velocity of 60 km/hr to cross a bridge of length 1000 meters.
(A) 50 s
(B) 2 min 4 s
(C) 1 min 30 s
(D) 1 min 12 s
Option d – 1 min 12 s
Calculate the relative velocity of the first car with respect to another car if the first car traveling at 60 km/hr overtakes the second car traveling at 40 km/hr.
(A) 50 km/hr
(B) 15 km/hr
(C) 25 km/hr
(D) 20 km/hr
Option d – 20 km/hr
If the speed v of a particle moving along a straight line, when it is at a distance x from a fixed point on the line is given by v² = 90x – 8x², then the magnitude of its H acceleration when it is at a distance 2 meter from the fixed point is
(A) 29 m/s²
(B) 36 m/s²
(C) 21 m/s²
(D) 31 m/s²
Option a – 29 m/s²
The frame of reference attached to the Eiffel tower is
(A) always inertial.
(B) always non-inertial.
(C) inertial frame of reference for terrestrial objects.
(D) inertial frame of reference for objects in space.
Option c – inertial frame of reference for terrestrial objects.
From the top of the tower, a stone is released. If it covers 26 m in the last second of its motion, the height of the tower is (g = 10 m/s²)
(A) 38 m
(B) 48 m
(C) 56 m
(D) 22 m
Option b – 48 m
If the velocity-displacement graph of a particle is linear with positive Y and X-axis intercepts vo and Xo respectively, then the acceleration displacement plot for the same would be
(A) with a positive slope and positive intercept on the acceleration axis.
(B) with a negative slope and negative intercept on the acceleration axis.
(C) with a positive slope and negative intercept on the acceleration axis.
(D) with a positive slope and passing through the origin.
Option c – with a positive slope and negative intercept on the acceleration axis.
Calculate the average speed for the entire journey of a bus, which covers its onward journey with a constant speed of 40 km/h and its return journey with a constant speed of 60 km/h.
(A) 55 km/h
(B) 48 km/h
(C) 25 km/h
(D) 50 km/h
Option b – 48 km/h
A 40 kg block when kept on a 10 m long 30° inclined plane initially at rest, it reaches the bottom of the plane. Calculate the time taken by the block to reach the bottom of the plane. (Take g = 10 m/s²)
(A) 6 s
(B) 4 s
(C) 2 s
(D) 1s
Option c – 2 s
A particle is moving with a velocity of 6 m/s towards the east and its velocity changes to 6 m/s north in 6 s. Find the acceleration.
(A) 2.63 N S-E
(B) 2.63 N N-E
(C) 1.414 N N-W
(D) 1.414 N S-W
Option c – 1.414 N N-W
What will be the initial velocity of a ball if a man throws it vertically upward and it rises through 20 m and returns to his hands? (g = 10 m/s²)
(A) 20 m/s
(B) 25 m/s
(C) 10 m/s
(D) 15 m/s
Option a – 20 m/s
Calculate the time taken by the parrot moving with a speed of 6 m/s towards the south direction to cross the 100 m long train which is moving towards the north direction with a speed of 12 m/s.
(A) 5.55 s
(B) 6.99 s
(C) 4.28 s
(D) 2.96 s
Option a – 5.55 s
A car moving with a speed of 50 km/hr stops, covering a distance of at least 3 m after applying brakes. If the same car is moving at a speed of 100 km/hr, what is the minimum distance covered by it before coming to halt after applying the brakes?
(A) 12 m
(B) 18 m
(C) 15 m
(D) 9 m
Option a – 12 m
Calculate the acceleration of a body at t = 2 s, if its displacement is x = 4t² +9t + 1.
(A) 1 m/s²
(B) 4 m/s²
(C) 2 m/s²
(D) 8 m/s²
Option d – 8 m/s²
Find the distance traveled in the ninth second of the motion of a ball falling from rest in the gravitational field of the earth. (g = 10 m/s²)
(A) 45 m
(B) 85 m
(C) 65 m
(D) 75 m
Option b – 85 m
No force is required for an object to be in uniform motion because ( Motion in One Dimension MCQ )
(A) its acceleration is constant.
(B) its velocity is constant.
(C) its speed is constant.
(D) its position vector is constant.
Option b – its velocity is constant.
A ball is dropped from the top of a tower of a height of 200 m. Simultaneously another ball was thrown upwards from the bottom of the tower with a speed of 60 m/s. They will cross each other after (g = 10 m/s²)
(A) 5.55 s
(B) 3.33 s
(C) 4.44 s
(D) 6.66 s
Option b – 3.33 s
What is the distance traveled by a particle starting from rest, if it accelerates at 4 m/s² for 5 s and then goes with constant speed for 20 s, and then decelerates at 2 m/s² till it stops?
(A) 750 m
(B) 550 m
(C) 450 m
(D) 650 m
Option b – 550 m
A brass ball is tied to a thin wire and swung so as to move uniformly in a horizontal circle. Which of the following statements in this regard is/are true? 1. The ball moves with constant velocity 2. The ball moves with constant speed 3. The ball moves with constant acceleration 4. The magnitude of the acceleration of the ball is constant Select the correct answer using the code given below :
(a) 1 only
(b) 1 and 3
(c) 1,2 and 4
(d) 2 and 4 only
Option d – 2 and 4 only
Which one of the following statements is not correct? ( motion in one dimension mcq )
(a) If the velocity and acceleration have opposite signs, the object is slowing down
(b) If the velocity is zero at an instant, the acceleration should also be zero at that instant
(c) If the velocity is zero for a time interval; the acceleration is zero at any instant within the time interval
(d) If the position and velocity have opposite signs, the object is moving toward the origin
Option b – If the velocity is zero at an instant, the acceleration should also be zero at that instant
A particle moves with uniform acceleration along a straight line from rest. The percentage increase in displacement during the sixth second compared to that in the fifth second is about
(a) 11%
(b) 22%
(c) 33%
(d) 44%
Option d – 44%
An object is moving with uniform acceleration a. Its initial velocity is u and after time t its velocity is v. The equation of its motion is v=u+at. The velocity (along the y-axis) and time (along the x-axis) graph shall be a straight line.
(a) passing through the origin
(b) with x-intercept u
(c) with y-intercept u
(d) with slope u
Option c – with y-intercept u
A boy throws four stones of the same shape, size, and weight at equal speed at different initial angles with the horizontal line. If the angles are 15°, 30°, 45°, and 60°, at which angle the stone will cover the maximum horizontally?
(a) 15⁰
(b) 30°
(c) 45°
(d) 60°
Option c – 45°
If you were to throw a ball vertically upward with an initial velocity of 50 m/s, approximately how long would it take for the ball to return to your hand? Assume air resistance is negligible.
(a) 2.5 s
(b) 5.0 s
(c) 7.5 s
(d) 10 s
Option d – 10 s
A bullet is fired vertically up from a 400 m tall tower with a speed of 80 m/s. It is taken as 10 m/s², the time taken by the bullet to reach the ground will be
(a) 8 s
(b) 16 s
(c) 20 s
(d) 24 s
Option c – 20 s
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
Option c – 18 m/sec
A stone thrown upward with a speed of u from the top of the tower reaches the ground with a velocity of 3u. The height of the tower is ( motion in one dimension mcq )
(a) 3u²/g
(b) 4u²/g
(c) 6u²/g
(d) 9u²/g
Option b – 4u²/g
A ball is dropped downwards after 1 sec another ball is dropped downwards from the same point. What is the distance between them after 3 sec?
(a) 25m
(b) 20m
(c) 50m
(d) 9.8m
Option a – 25m
A stone is thrown vertically upwards. When the particle is at a height half of its maximum height, its speed is 10m/sec, then the maximum height attained by the particle is (g=10m/sec²)
(a) 8m
(b) 10m
(c) 15m
(d) 20m
Option b – 10m
A body released from the top of a tower falls through half the height of the tower in 2 s. At what time shall the body fall through the height of the tower?
(a) 4 s
(b) 3.26s
(c) 3.48 s
(d) 2.828 s
Option d – 2.828 s
A ball is thrown vertically upward from the ground with a speed of 25.2 m/s. The ball will reach the highest point of its journey in ( motion in one dimension mcq )
(a) 5.14s
(b) 3.57 s
(c) 2.57 s
(d) 1.29 s
Option c – 2.57 s
If the distance S covered by a moving car in rectilinear motion with a speed v in time t is given by S= vt, then the car undergoes
(a) a uniform acceleration
(b) a non-uniform acceleration
(c) a uniform velocity
(d) a non-uniform velocity
Option c – a uniform velocity
An automobile traveling with a speed of 60 km/h, can apply brakes to stop within a distance of 20m. If the car is going twice as fast i.e., 120 km/h, the stopping distance will be
(a) 60m
(b) 40m
(c) 20m
(d) 80m
Option d – 80m
A stone thrown vertically upwards with a speed of 5 m/sec attains a height H₁. Another stone thrown upwards from the same point with a speed of 10 m/sec attains a height H₂. The correct relation between H₁ and H₂ is
(a) H₂=4H₁
(b) H₂=3H₁
(c) H₁ =2H₂
(d) H₁ = H₂
Option a – H₂=4H₁
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