Motion: Equations, Circular Motion and Investigation

Section A: Core Ideas

Question 1mcq

Which equation of motion is obtained from the area under a velocity-time graph for uniformly accelerated motion?

A.

s = ut + \frac{1}{2}at^2

B.

F=ma

C.

v = f\lambda

D.

p=mv

Question 2mcq

A car starts from rest and accelerates at

2\,m/s^2

for

5\,s

. What is its final velocity?

A.

2.5\,m/s

B.

10\,m/s

C.

7\,m/s

D.

25\,m/s

Question 3mcq

Which option correctly completes this statement: Uniform circular motion means?

A.Motion with zero change in direction

B.Motion only in a straight line

C.Motion at constant speed along a circular path.

D.Motion with increasing mass

Question 4mcq

Which option correctly completes this statement: Speed in uniform circular motion is given by?

A.

v = \frac{T}{2\pi r}

B.

v = 2\pi rT

C.

v = r + T

D.

v = \frac{2\pi r}{T}

Question 5mcq

Which instrument is useful for measuring time in a simple motion activity?

A.Stopwatch

B.Thermometer

C.Spring balance only

D.Litmus paper

Section B: Application Practice

Question 6mcq

Which real-life event can be modelled using uniform acceleration?

A.A book lying on a table

B.A ball rolling down a smooth inclined plane approximately.

C.A wall at rest

D.A sealed bottle with no motion

Question 7mcq

In a velocity-time graph with initial velocity

u

, final velocity

v

and time

t

, acceleration is represented by?

A.Area

= v-u

only

B.Intercept

= t/u

C.Slope

= \frac{v-u}{t}

D.Curve colour

Question 8mcq

An object starts with

u=3\,m/s

, acceleration

a=2\,m/s^2

for

4\,s

. Find displacement.

A.

11\,m

B.

20\,m

C.

32\,m

D.

28\,m

Question 9mcq

Why is uniform circular motion accelerated motion?

A.Direction of velocity changes continuously.

B.Speed is always increasing.

C.The object is always at rest.

D.The path has no radius.

Question 10mcq

A body completes one circular round of radius

7\,m

in

11\,s

. Using

\pi=\frac{22}{7}

, find speed.

A.

2\,m/s

B.

4\,m/s

C.

8\,m/s

D.

44\,m/s