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Tom [10]
3 years ago
8

A car is initially traveling south at a speed of 10.9m/s. The brakes are applied and the car comes to a stop over a distance of

39.2 meters. Find the car's acceleration.
Physics
1 answer:
AleksAgata [21]3 years ago
8 0

Answer: -1.51 m/s^{2}

Explanation:

Since the car is moving in a single direction, we can use the following kinematic equation to find its acceleration a:

V^{2}=V_{o}^{2}+2ad

Where:

V=0 m/s is the car's final velocity (we are told it comes to a stop)

V_{o}=10.9 m/s is the car's initial velocity

a is the car's acceleration

d=39.2 m is the distance travelled by the car

Isolating a:

a=\frac{V^{2}-V_{o}^{2}}{2d}

Solving the equation with the given data:

a=\frac{(0 m/s)^{2}-(10.9 m/s)^{2}}{2(39.2 m)}

Finally, the acceleration is:

a=-1.51 m/s^{2} Note the negative sign indicates the car was decreasing its velocity before coming to a stop.

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