21. A stone is dropped from top of tower of height
120 m and at the same instant another stone is
thrown upward with a velocity of 40 m/s from
bottom of tower. The time after which the two
stone will meet is
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Hey Dear,
◆ Answer -
t = 3 s
● Explanation -
Let t be the time after which two stones will meet each other.
At time t, distance covered by stone dropped from above will be -
s1 = ut + 1/2 at^2
s1 = 0×t + 1/2 × 10 × t^2
s1 = 5t^2
At time t, distance covered by stone thrown from below will be -
s2 = ut + 1/2 at^2
s2 = 40×t + 1/2 × (-10)t^2
s2 = 40t - 5t^2
Total distance covered by two stones will be height of tower.
s1 + s2 = h
5t^2 + 40t - 5t^2 = 120
40t = 120
t = 3 s
Therefore, two stones will meet each other after 3 s.
Thanks dear...
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