The car will catch the truck after 14 seconds.
Explanation:
The truck is travelling at constant speed, so we can write its position at time t as
where
v = 28.0 m/s is the speed of the truck
On the other hand, the police car is accelerating from rest, therefore its position at time t is given by
where
is the acceleration of the car
The car will catch the truck when the two positions are identical:
Solving for t,
Therefore, the car will catch the truck after 14 seconds.
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