Answer:
3 seconds
Step-by-step explanation:
To solve this problem, we have to find the acceleration of the car.
Acceleration is given as:
a = (v - u) / t
Where v = final velocity
u = initial velocity
t = time taken.
From the question,
u = 0 m/s
v = 31 mph = 13.86 m/s
t = 1.5 seconds
Acceleration, a, will be:
a (13.86 - 0) / 1.5
a = 13.86 / 1.5
a = 9.24 m/s²
We are told that this kind of car operates with constant force. This means it operates with constant acceleration (since force and acceleration are directly proportional)
Therefore, when the final velocity of the car is 62 mph (27.72 m/s), time taken is:
a = (v - u) / t
=> t = (v - u) / a
t = (27.72 - 0) / 9.24
t = 3 seconds
It will take the car 5 seconds to go from zero to 62 mph.