MEDIUM
11th West Bengal Board
IMPORTANT
Earn 100

A balloon is ascending at the rate of 14 m/s at a height of 98 m above the ground when a packet is dropped from the balloon. After how much time and with what velocity does it reach the ground?

Important Questions on Motion of a Particle

HARD
11th West Bengal Board
IMPORTANT
Two bodies are projected from the ground with the same speed. The angle of projection of one is 60° while that of the other is 30°. Show that the ratio of the greatest heights attained by them is 3:1.
HARD
11th West Bengal Board
IMPORTANT
The velocity of a projectile at the greatest height and that at half the greatest height bear a ratio 67. Find the angle of projection. 
MEDIUM
11th West Bengal Board
IMPORTANT
Show that the height fallen through by a body in time t is n2 times the height fallen through by the same in time t/n.
EASY
11th West Bengal Board
IMPORTANT
A particle is projected vertically upward. Prove that it will be at 59 of its greatest height at times which are in the ratio 1:3.
HARD
11th West Bengal Board
IMPORTANT
A stone is dropped from the top of a tower of height h. n seconds later, a second stone is thrown downwards from the same point with a vertically downward velocity u. Show that the two stones will reach the foot of the tower simultaneously if 8hu-gn2=gn22u-gn2.
MEDIUM
11th West Bengal Board
IMPORTANT
Find the angular velocities of the hour, minute and second hands of a clock.
MEDIUM
11th West Bengal Board
IMPORTANT
A point on the rim of a rotating wheel has linear velocity twice the linear velocity of a particle 10 cm nearer to the axis. Find the diameter of the wheel. 
HARD
11th West Bengal Board
IMPORTANT
A stone, tied to the end of a string 2 m, is whirled in a circle 50 times in every 10 seconds. Find the angular velocity, linear velocity and centripetal acceleration of the stone.