Question

a car initially at rest can accelerate at 7 m/s^2 how long will it take the car to reach 60 m/s and how far will it travel during this time

Answer 1

1. The time taken for the car to reach a velocity of 60 m/s is 8.57 s

2. The distance travelled during the time is 257.14 m

What is acceleration?

The acceleration of an object 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

1. How to determine the time

• Initial velocity (u) = 0 m/s
• Acceleration (a) = 7 m/s²
• Final velocity (v) = 60 m/s
• Time (t) =?

a = (v – u) / t

Thus,

t = (v – u) / a

t = (60 – 0) / 7

t = 8.57 s

2. How to determine the distance

• Initial velocity (u) = 0 m/s
• Acceleration (a) = 7 m/s²
• Final velocity (v) = 60 m/s
• Distance (s) = ?

v² = u² + 2as

60² = 0² + (2 × 7 × s)

3600 = 0 + 14s

3600 = 14s

Divide both sides by 14

s = 3600 / 14

s = 257.14 m

Learn more about acceleration and velocity:

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