**Q2: **

A particle accelerates at the rate of
m/s^{2} after
seconds of motion.
If m/s,
how long does it take for the velocity to reach 50 m/s?
Give your answer to 2 decimal places.

**Q3: **

If is the velocity of a particle in motion, in kilometers per hour, what is the unit of ?

- A hours
- B kilometers per hour
- C hours per kilometer
- D kilometers

**Q4: **

A particle is moving in a straight line such that its acceleration at time seconds is given by Given that its initial velocity is 20 m/s, find an expression for its displacement in terms of .

- A m
- B m
- C m
- D m

**Q5: **

A particle moves along the -axis. At time seconds, its acceleration is given by Given that at , its velocity is 28 m/s, what is its initial velocity?

**Q6: **

A particle is moving in a straight line such that its velocity at time seconds is given by Given that its initial position from a fixed point is 20 m, find an expression for its displacement at time seconds.

- A m
- B m
- C m
- D m

**Q7: **

A particle is moving in a straight line such that its velocity at time seconds is given by Given that its initial position from a fixed point is 4 m, find an expression for its displacement at time seconds.

- A m
- B m
- C m
- D m

**Q8: **

The figure shows a velocity-time graph for a particle moving in a straight line. Find the total distance the particle travelled.

**Q9: **

**Q10: **

A particle moves along the positive axis, starting at . Itβs acceleration varies directly with , where is the time in seconds. At , the particleβs displacement is 12 m, and its velocity is 14 m/s. Express the particleβs displacement, , and its velocity, , in terms of .

- A ,
- B ,
- C ,
- D ,
- E ,