Question

A car starts from rest and reaches a speed of 26 m/s in 8.5 seconds. What is the acceleration of the car? Round to 4 decimal places if necessary

Answer 1

3.0588 m/s²

Step-by-step explanation

Given:

• The final speed of the car, v = 26 m/s

,

• The initial speed of the car, u = 0 m/s - remember that it starts from rest

,

• The time it takes the car to reach the final speed, t = 8.5 s

Find:

• The acceleration of the car, a

The speed of an object is given by the equation,

`v=u+at`

In this case, u = 0 m/s, so we have,

`v=at`

Solving for a and replacing the known values,

`a=(v)/(t)=\frac{26\text{ }m/s}{8.5\text{ }s}\approx3.0588\text{ }m/s^2`

Hence, the acceleration of the car is 3.0588 m/s², rounded to four decimal places.