a) The acceleration of the car is
b) The new acceleration would be
Explanation:
a)
The acceleration of a body is equal to the rate of change of the velocity:
where
is the change in velocity
is the time interval considered
For the data of the car in this problem, we have:
is the initial velocity
is the final velocity
is the initial time
is the final time
Substituting, we find the acceleration:
b)
To solve this part, we can apply Newton's second law of motion, which states that the net force applied on a body is equal to the product between its mass and its acceleration:
where
F is the net force
m is the mass
a is the acceleration
The equation can be rewritten as
We observe that the acceleration is directly proportional to the force: therefore, if the force were cut in half, the acceleration will also halve. Therefore, the new acceleration would be
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