A girl travels along a straight road due east for the first half distance with speed v₁ and the second half distance with speed v₂. What is the average speed of the girl?

Find the distance travelled by the particle during the time t = 0 to t = 3 seconds from the figure.

If the speed of a particle is v = 10t²m/s. Find out distance covered from t = 2s to t = 5s.

A boy takes 2 second to reach the maximum speed of 18 km/h from rest. What is the magnitude of his average acceleration?

The speed of a car as a function of time as shown figure. Find the acceleration and distance travelled by the car in 8 seconds.