Question

How much time does it take the car to overtake the truck? express your answer with the appropriate units.

Answer 1

The time taken for the car to overtake the truck is 7.559 seconds. See the explanation below. See the explanation for this acceleration problem below.

What is acceleration?

Any process in which the velocity varies is referred to as acceleration. Because velocity is both a speed and a direction, there are only two ways to accelerate: modify your speed or your direction—or both.

What is the calculation justifying the above answer?

Given:

Acceleration of the car  Ac= 3.4m/s²

Acceleration of the Truck At = 2.1m/s²

We know that the car overtakes the truck after 60m.

Hence, the time required by the car to overtake the truck is the same time required by the truck to travel 60m

Therefore,

s=ut+ 1/2 AtT²; u=0

t = √(2s/At)

= √(2 * 60) /2.1

= √120/2.1

= √57.1428571429

= 7.559289446018

$\approx$ 7.559

Learn more about acceleration:
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Full Question:

A car and a truck start from rest at the same instant, with the car initially at some distance behind the truck. The truck has a constant acceleration of 2.10 m/s2 and the car an acceleration of 3.40 m/s2. The automobile overtakes the truck after the truck has moved 60.0 m.

How much time does it take the car to overtake the truck? Express your answer with the appropriate units.