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

Answer:

1.67s

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 = $\frac{v - u }{t}$  

v is the final velocity

u is the initial velocity

 t is the time taken

            6  =$\frac{30 - 20}{t}$  

            6  = $\frac{10}{t}$  

              10  = 6t

              t  = 1.67s