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Suppose that a car starts from rest. Its engine
The car’s engine provides a constant force of $F = 2000$ N. The car’s mass is $m = 1000$ kg.
(a) What is the car’s acceleration?
The car’s acceleration is given by Newton’s second law:
$$a = frac{F}{m}$$
Plugging in the given values, we get:
$$a = frac{2000 N}{1000 kg} = 2 m/s^2$$
(b) How far does the car travel in the first 10 seconds?
The distance traveled by the car is given by the following equation:
$$d = frac{1}{2}at^2$$
Plugging in the given values, we get:
$$d = frac{1}{2}(2 m/s^2)(10 s)^2 = 100 m$$
(c) What is the car’s velocity after 10 seconds?
The car’s velocity is given by the following equation:
$$v = at$$
Plugging in the given values, we get:
$$v = (2 m/s^2)(10 s) = 20 m/s$$
