In this problem, we are required to calculate the time a decelerating object takes come to rest and the distance covered before stopping, given its initial velocity, v0 and the deceleration, a. We are also required to represent the motion in displacement-time and velocity-time graphs.
This is a Kinematics problem since it involves initial velocity, v0, acceleration, a, distance covered, Δx, and time, t.
We'll follow the following simple steps!
We need to remember the four kinematic equations in order to solve the problem. These are:
On a dry road, a car with good tires may be able to brake with a constant deceleration of 4.92 m/s.
(a) How long does such a car, initially traveling at 24.6 m/s, take to stop?
(b) How far does it travel in this time?
(c) Graph x versus t and v versus t for the deceleration.