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Test on Motion in a Plane-2

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Question 1

A bullet is fired in a horizontal direction from a tower while a stone is simultaneously dropped from the same point then -

Question 2

If T be the total time of flight of a current of water and H be the maximum height attained by it from the point of projection, then H/T will be - (u = projection velocity, θ = projection angle)

Question 3

If a baseball player can throw a ball at maximum distance d over ground, the maximum vertical height to which he can throw it, will be (Ball have same initial speed in each case) -

Question 4

What is the average velocity of a projectile between the instants is crosses half the maximum height. It is projected with a speed u at an angle θ with the horizontal-

Question 5

An artillery piece which consistently shoots its shell with the same muzzle speed has a maximum range of R. To hit a target which is R/2 from the gun and on the same level, at what elevation angle should the gun be pointed(height of gun from ground in neglected)-
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Oct 21JEE & BITSAT