Motion in One Dimension # MCQs Practice set

Q.1 Which of the following is a scalar quantity?

Displacement
Velocity
Speed
Acceleration
Explanation - Speed has only magnitude and no direction, making it a scalar quantity. Displacement, velocity, and acceleration are vectors.
Correct answer is: Speed

Q.2 If a particle moves along a straight line, which one is always non-negative?

Velocity
Displacement
Distance
Acceleration
Explanation - Distance is the total length of the path covered and can never be negative, unlike displacement and velocity.
Correct answer is: Distance

Q.3 Displacement can be:

Always greater than distance
Always equal to distance
Less than or equal to distance
Independent of distance
Explanation - Displacement is the shortest path between two points, so it can be equal to or less than the actual distance.
Correct answer is: Less than or equal to distance

Q.4 The slope of a displacement-time graph gives:

Acceleration
Speed
Velocity
Distance
Explanation - The rate of change of displacement with time is velocity.
Correct answer is: Velocity

Q.5 A body moving with uniform velocity will have:

Zero acceleration
Constant acceleration
Variable acceleration
None of these
Explanation - Uniform velocity means no change in velocity, hence acceleration is zero.
Correct answer is: Zero acceleration

Q.6 What is the SI unit of acceleration?

m/s
m/s²
m²/s
s/m²
Explanation - Acceleration is the rate of change of velocity per unit time, measured in m/s².
Correct answer is: m/s²

Q.7 If velocity is negative and acceleration is positive, the object is:

Speeding up
Slowing down
At rest
Moving uniformly
Explanation - Velocity and acceleration are in opposite directions, so the object slows down.
Correct answer is: Slowing down

Q.8 The area under a velocity-time graph represents:

Acceleration
Displacement
Speed
Force
Explanation - The integral of velocity over time gives displacement.
Correct answer is: Displacement

Q.9 Which of these graphs represents uniform acceleration?

Straight line in v-t graph
Curve in v-t graph
Horizontal line in v-t graph
Random scatter
Explanation - A straight line in velocity-time graph indicates constant change in velocity i.e., uniform acceleration.
Correct answer is: Straight line in v-t graph

Q.10 If an object starts from rest and moves with constant acceleration 'a', its velocity after time 't' is:

at
2at
t/a
a/t
Explanation - Using equation of motion: v = u + at. For u=0, v = at.
Correct answer is: at

Q.11 The first equation of motion is:

s = ut + ½at²
v = u + at
v² = u² + 2as
s = (u+v)/2 × t
Explanation - The first equation of motion relates velocity, initial velocity, acceleration, and time.
Correct answer is: v = u + at

Q.12 A ball is dropped from rest. Its velocity after 3 seconds (g=10 m/s²) is:

10 m/s
20 m/s
30 m/s
40 m/s
Explanation - v = u + at = 0 + 10 × 3 = 30 m/s.
Correct answer is: 30 m/s

Q.13 If a car moves with uniform acceleration and its velocity changes from 10 m/s to 20 m/s in 5 seconds, its acceleration is:

2 m/s²
5 m/s²
10 m/s²
15 m/s²
Explanation - a = (v - u)/t = (20 - 10)/5 = 2 m/s².
Correct answer is: 2 m/s²

Q.14 What is the displacement of a body moving with constant velocity v for time t?

vt²
½vt²
vt
v/t
Explanation - Displacement = velocity × time = vt.
Correct answer is: vt

Q.15 When velocity-time graph is parallel to time axis, acceleration is:

Positive
Negative
Zero
Infinite
Explanation - A horizontal line shows constant velocity, hence no acceleration.
Correct answer is: Zero

Q.16 If an object covers equal distances in equal intervals of time, it has:

Uniform speed
Uniform acceleration
Non-uniform acceleration
Zero acceleration
Explanation - Equal distances in equal time intervals indicate constant speed.
Correct answer is: Uniform speed

Q.17 A body thrown vertically upwards has zero velocity at:

The start point
The highest point
Midway
End point
Explanation - At the topmost point, velocity momentarily becomes zero before falling down.
Correct answer is: The highest point

Q.18 If a body moves with constant acceleration a, displacement in nth second is given by:

u + ½a(2n-1)
u + ½a(2n+1)
u + an²
u + 2an
Explanation - Displacement in nth second = u + ½a(2n-1).
Correct answer is: u + ½a(2n-1)

Q.19 When a moving body comes to rest, its final velocity is:

Equal to its initial velocity
Zero
Negative
Infinite
Explanation - At rest, final velocity becomes zero.
Correct answer is: Zero

Q.20 For uniformly accelerated motion, which graph is a parabola?

Displacement-time
Velocity-time
Acceleration-time
Force-time
Explanation - Displacement vs time graph for uniformly accelerated motion is a parabola.
Correct answer is: Displacement-time

Q.21 If initial velocity is 5 m/s, acceleration is 2 m/s², displacement after 5s is:

25 m
50 m
75 m
100 m
Explanation - s = ut + ½at² = 5×5 + ½×2×25 = 25 + 25 = 50 m.
Correct answer is: 50 m

Q.22 A train travels at 60 km/h for 30 minutes. The distance covered is:

10 km
20 km
30 km
40 km
Explanation - Distance = speed × time = 60 × 0.5 = 30 km.
Correct answer is: 30 km

Q.23 Which equation of motion is derived by eliminating time?

v = u + at
s = ut + ½at²
v² = u² + 2as
s = (u+v)/2 × t
Explanation - The third equation of motion relates displacement, velocities, and acceleration without time.
Correct answer is: v² = u² + 2as

Q.24 A car moving with 20 m/s comes to rest in 10 seconds. The retardation is:

1 m/s²
2 m/s²
3 m/s²
4 m/s²
Explanation - a = (v - u)/t = (0 - 20)/10 = -2 m/s² (retardation = 2).
Correct answer is: 2 m/s²

Q.25 What does the slope of a velocity-time graph give?

Displacement
Speed
Acceleration
Force
Explanation - Slope of velocity-time graph = change in velocity / time = acceleration.
Correct answer is: Acceleration