A ball thrown up vertically returns after 6s. Find:-
(i) The velocity with which it was throw up
(ii) the maximum height it reaches, and
(iii) It's position after 4s.
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I had tried it maybe correct sorry for not being clear about this
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Time to reach Maximum height,
t = 6/2 = 3 s.
v = 0 (at the maximum height)
a = – 9.8 m s–²
Since the ball is thrown upwards, the acceleration is negative.
i) Using, v = u + at, we get
0 = u – 9.8 × 3
or, u = 29.4 ms–¹
Thus, the velocity with which it was thrown up = 29.4ms–¹
ii) Using, 2aS = v² – u², we get
S = v²- u²/2a
= 0 – 29.4 × 29.4/(- 2× 9.8)
= 44.1 m
Thus, Maximum height it reaches = 44.1 m.
iii) t = 4s.
In 3 s, the ball reaches the maximum height and in 1 s it falls from the top.
Distance covered in 1 s from maximum height,
S = ut + 1/2at ²
S = 0 + 1/2 × 9.8 × 1
S = 4.9 m
Explanation:
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