Question

A motorcyclist after 12 seconds, acquires a speed of 9 m/s and 6 seconds later achieves a speed of 15m/s. As it travels along a straight line over a sloping street.

What is the distance?

Answer 1

72 m

Step-by-step explanation:

Assuming the motorcyclist is travelling at constant acceleration, we can find the distance travelled by using the following suvat equation:

`d=((u+v)/(2))t`

where

d is the distance travelled

u is the initial velocity

v is the final velocity

t is the time interval

In this problem we have

u = 9 m/s

v = 15 m/s

t = 6 s (we are only interested in the time interval in which the velocity changes from 9 m/s to 15 m/s)

Substituting we find

`d=((9+15)/(2))(6)=72 m`