Answered

A sports car has an average acceleration of 5.81 m/s2. How long does it take for the car to reach 60.0 mi/h, if it starts from rest?

Answer :

SQDANCEFANGO

Answer:

  4.617 s

Explanation:

The speed of 60 mi/h can be converted to m/s:

  (60 mi/h) × (1609.344 m/mi) × (1 h)/(3600 s) = 26.8244 m/s

The relationship between speed and acceleration is ...

  v = at

  t = v/a = (26.8244 m/s)/(5.81 m/s²) ≈ 4.617 s

It will take the car 4.617 seconds to reach 60 mi/h starting from rest.

SPACEGO

Answer:

4.62 s

Explanation:

We have 3 known variables and 1 unknown variable that we want to solve for.

  • a = 5.81 m/s²
  • v₀ = 0 m/s
  • v = 60.0 mi/h
  • t = ?

Convert 60 mi/h to m/s.

  • 60 mi/h -> 26.8224 m/s

Use the kinematic equation that contains all four of these variables.

  • v = v₀ + at
  • 26.8224 = 0 + (5.81)t
  • 26.8224 = 5.81t
  • t = 4.61659208262

It takes the car 4.62 seconds to reach a velocity of 60 mi/h (26.82 m/s) if it starts from rest.

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