A ball is dropped from top of a building 122.5 m high. How long will it take to reach the ground? What will be it's velocity when it strike's the ground?
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Answer:
The final velocity is 49 m/s.
Here, u is initial velocity t is the time taken and g is acceleration due to gravity. as ball is dropped from the top of the building, so u = 0. t = 5 s. Thus, the time taken by the ball to reach the ground is 5 s.
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Given
- A ball is dropped from the top of a building
- Height = 122.5 m
To Find
- Time taken to reach the ground
- Velocity when the ball strikes the ground
Solution
● We shall find the velocity using the third equation of motion and then use the first equation of motion to find the time taken
● v²-u² = 2as [Third Equation of motion]
● v = u+at [First Equation of motion]
━━━━━━━━━━━━━━━━━━
✭ Velocity when the ball strikes the ground
→ v²-u² = 2as
→ v²-0² = 2 × 10 × 122.5
→ v² = 2 × 1225
→ v² = 2450
→ Velocity = 49.5 m/s
✭ Time taken to strike the ground
→ v = u+at
→ 49.5 = 0 + 10 × t
→ 49.5 = 10t
→ 49.5/10 = t
→ Time = 4.95 sec
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