114 - Kinematics Questions Answers

A perfectly elastic particle is projected with a velocity v on a vertical plane through the line of greatest slope of an inclined plane of elevation α.If after striking the plane, the particle rebounds vertically show that it will return to the point of projection at the end of time equal to?

ANS GIVEN -   6V/{g(1+8sin^2(α))^(1/2)}

A body first acceleration with alpha m/s^2 and from rest and then retards with beta m/s^2 to rest. The total distance covered is D. So find the total time taken . With only alpha,beta and d terms.

The velocity of a particle is defined by Vx=100-t^(3/2) and Vy=100+10t-2t^(2) Where V is in m/sec and t is in seconds. The radius of curvature at the top of its path is?

Two balls A and B are simultaneously released on two frictionless inclined planes from the position shown. The inclined planes have equal inclinations. The balls pass through a particular horizontal level 12s and 4s after they were released. How long after they were released will they be closest to each other?