# Lesson Worksheet: Applications on Motion with Uniform Acceleration Mathematics

In this worksheet, we will practice solving problems involving motion of a particle with uniform acceleration through one or more sections of its path.

**Q7: **

A train, starting from rest, began moving in a straight line between two stations. For the first 80 seconds, it moved with a constant acceleration . Then it continued to move at the velocity it had acquired for a further 65 seconds. Finally, it decelerated with a rate of until it came to rest. Given that the distance between the two stations was 8.9 km, find the magnitude of and the velocity at which it moved during the middle leg of the journey.

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

**Q8: **

A speeding car, moving at 96 km/h, passed by a police car. 12 seconds later, the police car started pursuing it. Accelerating uniformly, the police car covered a distance of 134 m until its velocity was 114 km/h. Maintaining this speed, it continued until it caught up with the speeding car. Find the time it took for the police car to catch the other car starting from the point the police car began moving.

**Q9: **

A body, moving in a straight line, covered 60 cm in 6 seconds whilst accelerating uniformly. Maintaining its velocity, it covered a further 52 cm in 5 seconds. Finally, it started decelerating at a rate double to the rate of its former acceleration until it came to rest. Find the total distance covered by the body.

**Q10: **

A bullet was fired horizontally at a wooden block.
It entered the block at 80 m/s and penetrated 32 cm into the block before it stopped.
Assuming that its acceleration was uniform, find in km/s^{2}.
If, under similar conditions, another bullet was fired at the wooden block that was 14 cm thick, determine the velocity at which the bullet exited the wooden block.

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