Final answer:
The time it takes for a ball to attain a final velocity of 147 m/s when falling from rest can be calculated using the formula v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time. Plugging in the values, the time is 15 seconds.
Step-by-step explanation:
The time it takes for a ball to attain a final velocity can be calculated using the formula:
v = u + at
Where:
- v is the final velocity
- u is the initial velocity
- a is the acceleration
- t is the time
In this case, the ball is falling from rest, so the initial velocity u is 0. The final velocity v is 147 m/s.
The acceleration due to gravity is approximately 9.8 m/s^2. Plugging these values into the formula:
147 = 0 + 9.8t
Solving for t gives:
t = 147/9.8 = 15 seconds
Therefore, it will take the ball 15 seconds to attain a final velocity of 147 m/s.