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Answer :
The magnitude of the car's acceleration while braking is approximately 2.75 m/s².
To find the magnitude of the car's acceleration while braking, we can use the equation:
v² = u² + 2as
where:
v is the final velocity (which is 0 m/s since the car comes to a stop),
u is the initial velocity,
a is the acceleration, and
s is the distance traveled.
Given:
Initial velocity (u) = 50.0 km/h = (50.0 * 1000) / 3600 m/s ≈ 13.89 m/s
Distance traveled (s) = 35.0 m
Final velocity (v) = 0 m/s
Plugging in the values into the equation:
0² = (13.89)² + 2a(35.0)
Simplifying the equation:
0 = 192.72 + 70a
Rearranging the equation:
70a = -192.72
Solving for acceleration (a):
a = (-192.72) / 70 ≈ -2.75 m/s²
Therefore, the magnitude of the car's acceleration while braking is approximately 2.75 m/s².
Learn about acceleration here: https://brainly.com/question/25876659
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