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Atoms And Molecules

Question
CBSEENSC9006121

A coconut is hanging on a tree at a height of 15 m from the ground. A boy launches a projectile vertically upwards with a velocity of 20 m/s. After what time will the projectile pass by the coconut? Explain the two answers that you get in this problem.

Solution

Given space that comma space

Distance space of space coconut space from space the space ground comma space straight s space equals space plus 15 space straight m space

Initial space velocity comma space straight u space equals space plus 20 space straight m divided by straight s

Acceleration space due space to space gravity comma space straight g space equals space minus 10 space straight m divided by straight s squared

Now comma space using space the space second space equation space of space motion comma space

space space space space space space space space space space straight s space equals space ut space plus space 1 half at squared space
therefore space space space space space 15 space equals space 20 space straight t space minus space 1 half cross times 10 cross times straight t squared space
rightwards double arrow space space space space space space 3 space equals space 4 straight t space minus space straight t squared space

rightwards double arrow space space space space space space straight t to the power of 2 space end exponent minus space 4 straight t space plus space 3 space equals space 0

rightwards double arrow space space space left parenthesis straight t minus 1 right parenthesis thin space left parenthesis straight t minus 3 right parenthesis thin space equals space 0 space

That space is comma space straight t space equals space 1 space sec space or space straight t equals space 3 space sec

Therefore comma space in space 1 space seconds space the space projectile space passes space
the space coconut space going space ipwards space and space in space 3 space seconds space it space passes space
the space coconut space coming space downwards. space