an object vertically throne reaches max height 19.6m. Find the velocity of projection?
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Answer:
ATQ, height, s=19.6m
(i) Initial velocity, u=?
Now, when thrown vertically upwards,
Acceleration= −g=−9.8m/s
2
Also, at end point, final velocity= 0m/s
⇒v
2
=u
2
+2as
So, (0)
2
=(u)
2
+2(−9.8)(19.6)
⇒u=19.6m/s
(ii) For going upward,
v=u+at
⇒0=19.6+(−9.8)(t)
⇒t=2s
Total time= upward+ downward
⇒2+2=4s
(iii) For downward motion,
u=0m/s
v=?
a=+9.8m/s
t=2s
⇒v=u+at
=19.6m/s
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