MEDIUM
JEE Advanced
IMPORTANT
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If T is the total time of flight h is the maximum height and R is the range for horizontal motion, the x and y co-ordinates of projectile motion and time t are related as 

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Important Questions on Kinematics II

MEDIUM
JEE Advanced
IMPORTANT
Consider a shell that has a muzzle velocity of 45 m s-1 fired from the tail gun of an airplane, moving horizontally with a velocity of 215 m s-1. The tail gun can be directed at any angle with the vertical, in a plane of motion of the airplane. The shell is fired when the plane is above the point A on the ground. The plane is above the point B on the ground when the shell hits the ground. (Assume for simplicity that the earth is flat)
MEDIUM
JEE Advanced
IMPORTANT
A boat is travelling due east at 12 m s-1. A flag on the boat flaps at 53° N of W. Another flag on the shore flaps due north.
MEDIUM
JEE Advanced
IMPORTANT
A particle has initial velocity 4i^+4j^ m s-1 and acceleration -0.4i^ m s-2, at what time will its speed be 5 m s-1?
HARD
JEE Advanced
IMPORTANT
A cubical box dimension L=5/4 m starts moving with an acceleration a=0.5i^ m s-2 from the state of rest. At the same time, a stone is thrown from the origin with velocity V=v1i^+v2j^-v3k^ with respect to the earth. Acceleration due to gravity g=10 -j^ m s-2. The stone just touches the roof of a box and finally falls at the diagonally opposite point, then
EASY
JEE Advanced
IMPORTANT

A football is kicked with a speed of 22 m s-1 at an angle of 60° to the positive x-direction taken along the horizontal. At that instant, an observer moves past the football in a car that moves with a constant speed of 11 m s-1 in the positive x-direction. Take positive y-direction vertically upwards. g=10 m s-2

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MEDIUM
JEE Advanced
IMPORTANT

Three projectiles A, B and C are thrown simultaneously from the same point in the same vertical plane. Their trajectories are shown in the figure. Then which of the following statement(s) is/are correct.

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HARD
JEE Advanced
IMPORTANT

Two balls are thrown from an inclined plane at an angle of projection α with the plane one up the inclined plane and the other down the incline as shown in the figure. If R1, and R2 be their respective ranges, then

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MEDIUM
JEE Advanced
IMPORTANT

Two particles are projected with speed 4 m s-1 and 3 m s-1 simultaneously from same point as shown in the figure.
Then:

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