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rsetser6989
13.10.2020 •
Physics
Billy Sue is speeding down a country road in his new monster truck at a constant 32 m/s when he goes over a hill and spots a cow standing in the middle of the road. The cow is 45m in front of him. If he reacts immediately upon viewing the cow, and his braking acceleration is 20 m/s 2 , can he stop in time to avoid hitting the cow?
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Ответ:
He won't stop on time, the distance his car traveled during the braking is greater than 45 m.
Explanation:
Given;
initial velocity of Billy's car, u = 32 m/s
his braking acceleration, -a = 20 m/s
his final velocity when the car stops, v = 0
Apply the following kinematic equation to determine the distance traveled by Billy's car during the braking acceleration;
v² = u² + 2as
0 = 32² + (2 x -9.8)s
0 = 32² - 19.6s
19.6s = 32²
s = (32²) / (19.6)
s = 52.25 m
The distance traveled is greater than 45 m, thus Billy's car will hit the cow.
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