A stone is dropped from the top of a 80 m high tower. Calculate its speed after 2s. Also find the speed with which it strikes the ground.
Answers
Answered by
3
Given that,
Height = 40 m
Time t =2 sec
We know that,
v=u+gt
v=0+9.8×2
v=19.6m/s
The speed of stone is 19.6 m/s
Now, the speed with which the stone strikes the ground
v
2
=u
2
+2gs
v
2
=0+2×9.8×40
v
2
=784
v=28m/s
Hence, the speed with which the stone strikes the ground is 28 m/s
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Answered by
6
Answer:
The speed with which it strikes the ground is 20 (2^1/2) m/s.
Step-by-step explanation:
Given:
- A stone is dropped from the top of a 80m high tower.
To Find:
The speed after 2 sec.
Solution:
The speed with which it striked the ground = ?
Using the formula,
V = u + at
=> V = 0 + (9.8)(20)
=> V = 10.6 m/s.
Now,
To find the time, t = ?
S = ut + 1/2 at²
=> 40J = (0)t + 1/2 + (10)t²
=> t² = 40/5
=> t² = 8
=> t = 8^1/2.
Here,
V = u + at
=> 0 + (10^1/8)
=> 20 (2^1/2) m/s.
Therefore, The speed with which it strikes the ground id 20 (2^1/2) m/s.
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