Answer :
The car experiences an acceleration of approximately 6.12 m/s² while passing the truck.
To determine the acceleration experienced by the car, we can use the formula:
acceleration = (final velocity - initial velocity) / time
In this case, the initial velocity (u) of the car is 11.2 m/s, the final velocity (v) is 24.3 m/s, and the distance covered (s) is 38.1 m.
First, let's find the time it took for the car to cover this distance. We can use the formula:
distance = (initial velocity + final velocity) * time / 2
Rearranging the formula to solve for time:
time = (2 * distance) / (initial velocity + final velocity)
Plugging in the given values:
time = (2 * 38.1) / (11.2 + 24.3)
Calculating the time:
time = 76.2 / 35.5
time ≈ 2.15 seconds (rounded to 2 decimal places)
Now, we can calculate the acceleration:
acceleration = (final velocity - initial velocity) / time
Plugging in the values:
acceleration = (24.3 - 11.2) / 2.15
Calculating the acceleration:
acceleration ≈ 6.12 m/s² (rounded to 2 decimal places)
Therefore, the car experiences an acceleration of approximately 6.12 m/s² while passing the truck.
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