Engineering Mec...

A particle moves in a straight line and its position is defined by equation \(x = 6{t^2} - {t^3}\) where t is expressed in seconds and x in meters. The maximum velocity(m/s) during motion is____

A player hits a ball with a baseball but such that it repeats its path and goes back with incoming velocity of 20 m/s. if the mass of ball is 150 gm, then the impulse (magnitude) imparted by the bat is ____ kg.m/s (give magnitude only)

Two blocks of equal masses are made. One of them is smooth and the other is rough with coefficient of friction 0.20 with the floor. The smooth block is moving at 20 m/s towards the rough block at rest. If their collision is perfectly elastic, then the distance travelled by the rough block will be ______

A horizontal circular platform of radius 1m and mass 0.6 kg is free to rotate about its axis. Two massless guns, each carrying a bullet of mass 65 gm are attached at a distance of 0.4 m and 0.6 m from center and in opposite direction. If the guns fire simultaneously and speed of bullets are 25 m/s (each), then the magnitude of rotational speed of platform is

A bullet is fired from a gun. The force on the bullet is given by F = 600 – 2 × 10⁵ t where F is in newton and t in seconds. The force on the bullet becomes zero as soon as it leaves the barrel. What is the average impulse imparted to the bullet?