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A ball is rolled off along the edge of a...

A ball is rolled off along the edge of a horizontal table with velocity `4m//s`. It hits the ground after time `0.4s`. Which of the following are correct?

A

The height of the table is `0.8 m`

B

It hits the ground at an angle of `60^(@)` with the vertical

C

It covers a horizontal distance `1.6m` from the table

D

It hits the ground with vertical velcotiy `4m//s`

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
(A) `y = y_(0) +v_(y)^(t) +(1)/(2) a_(y)t^(2)`
`0 = ht +(1)/(2) (-g)t^(2)`
`h = (1)/(2)gT^(2) rArr h = (1)/(2) xx 10 xx (0.4)^(2) rArr h = 0.8 m`
(B) `tan theta = (V_(y))/(V_(x)) = (-"gt")/(u_(x)) = (10xx 0.4)/(4) = - 1 rArr theta = - 135^(@)`
(C ) `x = u_(x)t`
`R = u_(x) T rArr R = 4 xx 0.4 = 1.6 m`
(D) `V_(y) =- gT =- 10 xx 0.4 =- 4m//s`
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