A small sphere is projected with a velocity of `3 ms^-1` in a direction `60^@` from the horizontal y - axis, on the smooth inclined plane (Fig. 5.197). The motion of sphere takes place in the x - y plane. Calculate the magnitude `v` of its velocity after `2 s`.
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Answer

A

Explanation

It is just like a projectile motion with `g` to be replaced by `g sin 45^(@)`
`After 2 s,`
`nu = sqrt(nu_(x)^(2) + nu_(y)^(2))`
`= sqrt((10 sin 45^(@) - (g)/(sqrt2) xx 2) + (10 cos 45^(@))^(2))`
`= 10 m//s`