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A sports car accelerates from zero to 30 mph in 1.5 s. How long does it take for it to accelerate from zero to 60 mph, assuming the power of the engine to be independent of velocity and neglecting friction?A. 2 sB. 3 sC. 4.5sD. 6 sE. 9 s

Answer :

mystery85

Answer:

4.5s

Explanation:

A sports car accelerates from zero to 30 mph in 1.5 s.

Eduard22sly

Given the data, the time taken for the car to accelerate from zero to 60 mph is 3 s (Option B)

What is acceleration?

This is defined as the rate of change of velocity which time. It is expressed as

a = (v – u) / t

Where

  • a is the acceleration
  • v is the final velocity
  • u is the initial velocity
  • t is the time

How to determine the acceleration

  • Initial velocity (u) = 0 mph = 0 m/s
  • Final velocity (v) = 30 mph = 30 × 0.447 = 13.41 m/s
  • Time (t) = 1.5 s
  • Acceleration (a) =?

a = (v – u) / t

a = (13.41 – 0) / 1.5

a = 8.94 m/s²

How to determine the time

  • Initial velocity (u) = 0 mph = 0 m/s
  • Final velocity (v) = 60 mph = 60 × 0.447 = 26.82 m/s
  • Acceleration (a) = 8.94 m/s²
  • Time (t) =?

a = (v – u) / t

t = (v – u) / a

t = (26.82 – 0) / 8.94

t = 3 s

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