A stationary car with a mass of 1500 kilograms reaches a velocity of 15 metersvper second 5 seconds after starting. What is the cars acceleration? How much force was required to reach this acceleration?
The car's acceleration can be calculated as `a = (Delta V)/t` , where `Delta V` is the change in its velocity during the interval of time t. Since the car is originally stationary, the initial velocity is zero, and the change of velocity is equal to the final velocity:
`Delta V = 15 m/s`
and the time interval is t = 5 s.
So `a = (15 m/s)/( 5s) = 3 m/s^2`
The acceleration equals 3 m/s^2.
The force required to reach this acceleration can be found by the second Newton's Law:
`F = ma` , where m is the mass of the car.
`F = (1500 kg)(3 m/s^2) = 4500 N`
The force required is 4500 N.