Question

1) Dean is slowing down on his skateboards. He starts at a speed of 5.5 m/s and slows to 1.0 m/s over a time of 3.0 seconds. What is Dean's acceleration?

Answer 1

Acceleration, A = -1.5 m/s²

Step-by-step explanation:

Given the following data;

Final velocity, v = 1 m/s

Initial velocity, u = 5.5 m/s

Time, t = 3

To find acceleration;

Acceleration can be defined as the rate of change of the velocity of an object with respect to time.

This simply means that, acceleration is given by the subtraction of initial velocity from the final velocity all over time. Hence, if we subtract the initial velocity from the final velocity and divide that by the time, we can calculate an object’s acceleration.

Mathematically, acceleration is given by the equation;

`Acceleration (a) = (final \; velocity - initial \; velocity)/(time)`

Substituting into the equation, we have;

A = (1 - 5.5)/3

A = -4.5/3

Acceleration, A = -1.5 m/s²

Therefore, Dean is decelerating.