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
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
a = (v – u) / t
t = (v – u) / a
t = (26.82 – 0) / 8.94
t = 3 s
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