Question 8 of 17intermediate🔧 ApplyNumerical3 marks
A motorbike moving with initial velocity 28 m s⁻¹ and constant acceleration stops after travelling 98 m. Find the acceleration of the motorbike and the time taken to come to a stop.
(a)
Answer
-4 m s⁻²
(b)
Find the time taken to come to a stop.
Answer
7 s
Explanation
The problem involves uniformly accelerated motion, similar to the bus braking scenario in Example 4.3 of the textbook. Since the motorbike comes to a stop, its final velocity is zero. We apply the kinematic equations to find the unknown acceleration and time. The negative sign in the acceleration indicates it is acting opposite to the direction of velocity, meaning the motorbike is decelerating.