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A body is projected downwards at an angl...

A body is projected downwards at an angle of ` 30^@` to the horizontal with a velocity of `9.8 m//s` from the top of a a tower ` 29 .4m` high. How long will it take before striking the ground ?

A

1s

B

2s

C

3s

D

4s

Text Solution

Verified by Experts

The situation is shown in the adjoining figure. The time taken by the body is equal to the time taken by the freely falling body from the height 29.4 m. Initial velocity of body

`u sin theta = 9.8sin 30 ^(@)= 4,9m//s`
From the relation `h= u sin theta t + (1//2) "gt"^(2) ,`
We get `29.4 = 4.9 + (1//2)xx9.8t ^(2) implies t = 2sec `
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