32 NEET previous-year questions on Motion in a Straight Line, each with the correct answer and a step-by-step solution. Filter by topic and expand any question to see how to solve it.
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5 m/s
10 m/s
15 m/s
25 m/s
Solution
Use with , , :
16 m
18 m
20 m
50 m
Solution
Use with , , :
1 m/s
2 m/s
3 m/s
4 m/s
Solution
Use . Subtract:
Given , so and .
40 m
48 m
56 m
64 m
Solution
Use with , , :
Solution
Use with :
Solution
Use with :
2 s
4 s
6 s
8 s
Solution
Use with :
5 m
10 m
20 m
40 m
Solution
Use :
Solution
Time to reach the highest point: . By symmetry, time to fall back down equals time to rise.
Total time of flight .
20 m/s
25 m/s
30 m/s
35 m/s
Solution
Use with :
30 m
45 m
60 m
80 m
Solution
Distance in the -th second of free fall (starting from rest, , ):
Given and :
Total fall time is , so height .
2 s
3 s
4 s
5 s
Solution
At time , the first stone has fallen and the second stone (released later) has fallen .
Gap .
Set .
50 km/h
48 km/h
52 km/h
24 km/h
Solution
For equal distances at speeds and , the average speed is the harmonic mean:
40 km/h
45 km/h
50 km/h
55 km/h
Solution
Let total distance . Each third .
3.5 km/h, 0.5 km/h west
3.5 km/h east, 3.5 km/h east
0.5 km/h west, 3.5 km/h east
7 km/h, 0
Solution
Total distance . Total time .
Average speed .
Net displacement west.
Average velocity west.
12 m/s
14 m/s
16 m/s
20 m/s
Solution
Differentiate: .
At : .
Solution
. Initial velocity at :
Solution
.
.
At : .
2 m/s
4 m/s
6 m/s
8 m/s
Solution
.
4 m/s
6 m/s
8 m/s
10 m/s
Solution
Convert: .
.
Retardation magnitude .
Acceleration
Average velocity
Displacement
Speed
Solution
On a vs graph, the small element equals the small displacement . Integrating over the interval gives the total displacement.
Hence area under the graph displacement.
Acceleration
Velocity
Distance
Force
Solution
Slope of the position-time graph instantaneous velocity.
Uniform velocity
Uniform acceleration starting from rest
Non-uniform acceleration
Decelerated motion
Solution
Slope is constant and positive, so acceleration is constant and positive (uniform acceleration).
Passing through origin means at , i.e. starts from rest.
50 m
100 m
150 m
200 m
Solution
Displacement area under the velocity-time graph.
Area of triangle .
Uniform velocity
Uniform deceleration
Uniformly accelerated, starting from rest
At rest
Solution
A parabolic position-time graph corresponds to uniform acceleration: .
Passing through the origin means and the motion starts from rest ().
20 km/h
40 km/h
60 km/h
100 km/h
Solution
Same direction: .
6 s
10 s
12 s
15 s
Solution
Opposite directions: relative speed .
To completely cross, total distance .
Time .
Fall straight down
Move along a parabolic path
Move along a straight line at angle to the vertical
Stay at rest
Solution
In the bus frame, the ball falls vertically. In the ground frame, the ball already has the horizontal velocity of the bus when released. So it moves with constant horizontal velocity and vertical acceleration — a parabolic trajectory (projectile motion).
7 m, 5 m
5 m, 7 m
5 m, 5 m
7 m, 7 m
Solution
Distance is the total path length: .
Displacement is the straight-line distance from start to end: .
Solution
After one complete round, the person returns to the starting point. The straight-line distance from start to end is zero.
Displacement (distance is ).
Solution
Displacement .
The negative sign means the net motion was in the negative x-direction.
60 m
90 m
120 m
160 m
Solution
Stopping distance . The deceleration is the same on the same road, so :
.
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