Question

A motorcyclist travelling at 30m/s starts to apply his brake when he is 50m from the traffic light that has just turned red .if he reached the traffic light. what is the deceleration

a
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Answer 1

9m/s²

Step-by-step explanation:

Given parameters:

Initial velocity = 30m/s

Final velocity = 0m/s

Distance traveled = 50m

Unknown:

Deceleration = ?

Solution:

To solve this problem, we apply the proper motion equation;

V² = U² + 2aS

V is the final velocity

U is the initial velocity

a is the acceleration

S is the distance

Insert the parameters and solve;

0² = 30² + 2(a)50

-900 = 100a

a = -9m/s²

The negative value indicates deceleration.

The motorcycle decelerates at a rate of 9m/s²