Acannonball with mass m is fired with initial speed vinital from a cannon pointed at an angle 8 above the horizontal. compute the time it will take the ball to reach its maximum height, and compute this maximum height, in terms of indial, 8. and g. note that when the ball's height reaches a maximum, its speed in the vertical direction will be zero.

Aloaded platform of total mass 500 kg is supported by a dashpot and by a set of springs of effective stiffness 72 kn/m. it is observed that when the platform is depressed through a distance x = 12.5 cm below its equilibrium position and then released without any initial velocity; it reaches its equilibrium position in the shortest possible time without overshoot. find the position and velocity of the loaded platform 0.10 sec. after its release. if a further load of 400 kg is added to the platform, find, i) the frequency of damped vibrations, and i) the amplitude of vibration after 2 complete oscillations, given that the initial amplitude is 15 cm.