Question 5.
A stone is dropped from the top of a 40 m high tower. Calculate its speed after 2 s. Also find the speed with
which the stone strikes the ground.
Answer:
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- A stone is dropped from the top of a 40 m(height) high tower.
- Time(t) = 2 sec.
- Initial Velocity(u) = 0
- Gravitational Acceleration(g) = 9.8 m/s²
- Find the speed with which the stone strikes the ground.
According to the First Condition :-
- Speed After 2 Seconds.
Now, Put the Value in this Formula :-
Therefore,
- The Speed of stone after 2 second will be 19.6 m/s.
∴We know that :-
Therefore,
- Speed with which the stone strikes the ground is 28 m/s.
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✤ Given :
- Height = 40m
- Time = 2 sec
✤ To Find :
- It's speed after 2s.
- The speed with which the stone strikes the ground.
✤ Solution :
Formulae used :
➤
where, u = 0 and a = g(acceleration due to gravity)
Substituting the values, we get,
:
:
The speed of the stone after 2s is 19.6 m/s.
After that, we have to find the stone strikes the ground,
Fomulae used :
➤
Substituting the values, we get,
:
:
:
:
:
Therefore, the speed with which the stone strikes the ground is 28m/s.
__________________________
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