EXERCISE:

1. A body starts from rest and accelerates uniformly to a velocity of 25𝑚𝑠

−1

at a rate of 2.5𝑚𝑠

−2

.

Calculate the distance moved by the body.

2. A particle initially moving with a velocity of 5𝑚𝑠

−1

accelerates uniformly at 4𝑚𝑠

−2

. Find

i) the velocity of the particle after 8s.

ii) the displacement of the particle after 10s.

iii) displacement by the time its velocity is 25𝑚𝑠

−1

.

3. A car moving with a velocity of 25𝑚𝑠

−1

retards uniformly at a rate of 2.5𝑚𝑠

−2

. Calculate;

i) Velocity of the car after 8s.

ii) Time it takes to come to rest.

iii) Distance moved by the car.

4. A body traveling at 90𝑘𝑚ℎ

−1

is retarded to rest at 20𝑚𝑠

−2

. Calculate the distance covered.

5. A car on a straight road accelerates from rest to a speed of 30𝑚𝑠

−1

in 5s. it then travels at the same

speed for 5 minutes and then brakes for 10s in order to come to stop. Calculate the;

i) acceleration of the car during the motion.

ii) deceleration of the car.

iii) total distance travelled.

6. Calculate the final (maximum) velocity of a body travelling at 4𝑚𝑠

−1

, when it accelerates at 2𝑚𝑠

−2

and covers a distance of 5m.

7. A car travelling at 40𝑚𝑠

−1

is uniformly decelerated to 25𝑚𝑠

−1

for 5s. Calculate the total distance

covered.