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A girl standing on road holds her umbrella at 45° with the vertical to keep the rain away. If she starts running without umbrella with a speed of 152 km h-1, the rain drops hit her head vertically. The speed of rain drops with respect to the moving girl is

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Important Questions on Kinematics

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JEE Main
IMPORTANT
When a ball is dropped into a lake from a height 4.9 m above the water level, it hits the water with a velocity v and then sinks to the bottom with the constant velocity v. It reaches the bottom of the lake 4.0 s after it is dropped. The approximate depth of the lake is 
EASY
JEE Main
IMPORTANT
Motion of a particle in x-y plane is described by a set of following equations x=4sinπ2-ωt m and y=4sinωt m. The path of the particle will be
MEDIUM
JEE Main
IMPORTANT
A block of mass 2 kg moving on a horizontal surface with speed of 4 m s-1 enters a rough surface ranging from x=0.5 m to x=1.5 m. The retarding force in this range of rough surface is related to distance by F=-kx where k=12 N m-1. The speed of the block as it just crosses the rough surface will be 
MEDIUM
JEE Main
IMPORTANT

A car covers AB distance with first one-third at velocity v1 m s-1, second one-third at v2 m s-1 and last one-third at v3 m s-1. If v3=3v1,v2=2v1 and v1=11 m s-1, then the average velocity of the car is _____  m s-1.

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MEDIUM
JEE Main
IMPORTANT
Two balls A and B are placed at the top of 180 m tall tower. Ball A is released from the top at t=0 s. Ball B is thrown vertically down with an initial velocity u at t=2 s. After a certain time, both balls meet 100 m above the ground. Find the value of u in m s-1. [use g=10 m s-2]
EASY
JEE Main
IMPORTANT
Two vectors A and B have equal magnitudes. If magnitude of A+B is equal to two times the magnitude of A-B, then the angle between A and B will be 
EASY
JEE Main
IMPORTANT
A small toy starts moving from the position of rest under a constant acceleration. If it travels a distance of 10 m in t s, the distance travelled by the toy in the next t s will be:
EASY
JEE Main
IMPORTANT
A person can throw a ball upto a maximum range of 100 m. How high above the ground he can throw the same ball?