Question

While driving his sports car at 20.0 m/s through a residential neighborhood, Royston

comes up behind a slow-moving grandma and decides to pass her on the left. If
Royston can accelerate at 6.00 m/s2, how long will it take for him to reach a velocity of
30.0 m/s?

Answer 1

1.67s

Step-by-step explanation:

Given parameters:

Initial velocity = 20m/s

Acceleration = 6m/s²

Final velocity = 30m/s

Unknown:

Time taken = ?

Solution:

Acceleration is the rate of change of velocity with time. It is mathematically expressed as;

Acceleration =
`(v - u )/(t)`

v is the final velocity

u is the initial velocity

t is the time taken

6 =
`(30 - 20)/(t)`

6 =
`(10)/(t)`

10 = 6t

t = 1.67s