A cart is moving horizontally along a st...

A cart is moving horizontally along a straight line with constant speed `30 ms^-1.` A particle is to be fired vertically upwards from the moving cart in such a way that it returns to the cart at the same point from where it was projected after the cart has moved `80 m.` At what speed (relative to the cart) must the projectile be fired? (Take `g = 10 ms^-2`)

10m/sec

`10sqrt(8)m//sec`

`(40)/(3)m`/sec

none of these

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