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The point from where a ball is projected is taken as the origin of the coordinate axes. The x and y components of its displacement are given by x=6t and y=8t-5t2. What is the velocity of projection?

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Important Questions on Kinematics II

EASY
JEE Advanced
IMPORTANT
The point from where a ball is projected is taken as the origin of the coordinate axes. The x and y components of its displacement are given by x=6t and y=8t-5t2. In the above problem, what is the angle of projection with horizontal? 
MEDIUM
JEE Advanced
IMPORTANT
A shot is fired from a point at a distance of 200 m from the foot of a tower 100 m high, so that it just passes over it horizontally. The direction of shot with horizontal is
MEDIUM
JEE Advanced
IMPORTANT
A projectile has a time of flight T and range R. If the time of flight is doubled, keeping the angle of projection the same, what happens to the range
EASY
JEE Advanced
IMPORTANT
A ball is thrown from a point with a speed v0 at an angle of projection θ. From the same point and at the same instant, a person starts running at a constant speed v02 to catch the ball. Will the person be able to catch the ball? If yes, what should be the angle of projection?
EASY
JEE Advanced
IMPORTANT
A body is projected at an angle of 30° with the horizontal and with a speed of 30 m s-1. What is the angle with the horizontal after 1.5 s? g=10 m s-2
MEDIUM
JEE Advanced
IMPORTANT
A body has an initial velocity of 3 m s-1 and has an acceleration of 1 m s-2 normal to the direction of the initial velocity. Then its velocity 4 s after the start is
MEDIUM
JEE Advanced
IMPORTANT
Two tall buildings are 30 m apart. The speed with which a ball must be thrown horizontally from a window 150 m above the ground in one building so that it enters a window 27.5 m from the ground in the other building is 
MEDIUM
JEE Advanced
IMPORTANT
A shell fired from the ground is just able to cross horizontally the top of a wall 90 m away and 45 m high. The direction of projection of the shell will be