56. The distance travelled by a body during last second of its total flight is d when the body is projected
vertically up with certain velocity. If the velocity of projection is doubled, the distance travelled by
the body during last second of its total flight is
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Answers
Answer:
d
Explanation:
The distance travelled by a body during last second of its total flight is d when the body is projected vertically up with certain velocity. If the velocity of projection is doubled, the distance travelled by the body during last second of its total flight is
Let say Velocity = V
Velocity at Peak = 0
time taken to reach at peak = T
0 = V - gT
=> T = V/g
Velocity at T - 1 Sec = V - g(T-1) = V - g(V/g - 1) = V - V + g = g m/s
Distance covered in Last sec using V² - U² = 2aS
=> 0² - g² = 2(-g)d
=> d = g/2
Now Velocity = 2V
=> T = 2V/G
Velocity at T - 1 Sec = 2V - g(T-1) = 2V - g(2V/g - 1) = 2V - 2V + g = g m/s
=> 0² - g² = 2(-g)s
=> s = g/2
=> s = d
distance traveled by the body during the last second of its upward journey is same d
Explanation:
step by step explanation