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A small marble is projected with a veloc...

A small marble is projected with a velocity of `10 m//s` in a direction `45^(@)`from the y-direction on the smooth inclined plane. Calculate the magnitude `v` of its velocity of after `2 s` (Take `g = 10 m//s^(2))`

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The correct Answer is:
A
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`
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  • A small sphere is projected with velocity 5(m)/(s) in a direction 37^(@) from the horizontal y-axis on a smoother inclined plane. The motion of sphere takes plane in x-y plane. Magnitude of its velocity after 2 s is:

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