Miscellaneous T...

A ball is thrown vertically upwards from the ground with velocity 15 m/s and rebounds from the ground with one-third of its striking velocity. The ratio of its greatest heights before and after striking the ground is

particle possess two velocities simultaneously at an angle of tan^-1(12/5) to each other. Their resultant is 15 rn/s. If one velocity is 13 m/s, then the other will be

Two masses are projected with equal velocity u at angle 30^o and 60^o respectively. If the ranges covered by the masses be R₁ and R₂, then

The amount of force that is needed to accelerate a truck of mass 36000 kg from rest to a velocity of 60 km/h in 20 seconds is

A train is running at 5 m/s and a man jumps out of it with a velocity 10 m/s in a direction making an angle of 60° with the direction of the train. The velocity of the man relative to the ground is equal to

Inequations 3x – y ≥ 3 and 4x – y > 4

Shaded region is represented by

A Firm makes pents and shirts. A shirt takes 2 hours on machine and 3 hour of man labour while a pent takes 3 hour on machine and 2 hour of man labour. In a week there are 70 hour machine and 75 hour of man labour available. If the firm determine to make x shirts and y pents per week, then for this the linear constraints are

A company manufactures two types of products A and B. The storage capacity of its godown is 100 units. Total investment amount is Rs. 30,000. The cost price of A and B are Rs. 400 and Rs. 900 respectively. If all the products have sold and per unit profit is? Rs. 100 and? Rs. 120 through A and B respectively. If x units of A and y units of B be produced, then two linear constraints and iso-profit line are respectively