Question
Cereal dropped a golf ball from her second story window. The ball starts from rest and hits the sidewalk one. Five seconds later, with a velocity of 14.7 M/S find average acceleration of the golf ball.
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Answered by
GPT 3.5
To find the average acceleration of the golf ball, we can use the equation:
\[v = u + at,\]
where:
- \(v\) is the final velocity (14.7 m/s),
- \(u\) is the initial velocity (0 m/s since the ball starts from rest),
- \(a\) is the average acceleration,
- \(t\) is the time taken for the ball to reach the final velocity (5 seconds).
Substituting the given values into the equation, we have:
\[14.7 = 0 + a \cdot 5.\]
Simplifying the equation, we get:
\[14.7 = 5a.\]
Dividing both sides of the equation by 5, we find:
\[a = \frac{14.7}{5} = 2.94 \, \text{m/s}^2.\]
So, the average acceleration of the golf ball is \(2.94 \, \text{m/s}^2\).
\[v = u + at,\]
where:
- \(v\) is the final velocity (14.7 m/s),
- \(u\) is the initial velocity (0 m/s since the ball starts from rest),
- \(a\) is the average acceleration,
- \(t\) is the time taken for the ball to reach the final velocity (5 seconds).
Substituting the given values into the equation, we have:
\[14.7 = 0 + a \cdot 5.\]
Simplifying the equation, we get:
\[14.7 = 5a.\]
Dividing both sides of the equation by 5, we find:
\[a = \frac{14.7}{5} = 2.94 \, \text{m/s}^2.\]
So, the average acceleration of the golf ball is \(2.94 \, \text{m/s}^2\).
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