Neglecting air resistance, the motion of an object moving vertically near earth’s surfaceis determined by the acceleration due to gravity, which is approximately 9.8 m/s2.suppose an object is thrown vertically upward att= 0 with a velocity of 20 m/s fromthe edge of a cliff that is 200 m above a river.1. write initial value problem.2. find the the velocity of the object, fort≥0.3. find the position of the object, fort≥0.4. find the maximum height of the object above the river.

3. a worker pushes a 30.5 kg polished stone along a polished table with a force on bonin a straight line for 5.20 s after starting from rest. there is no friction between thestone and the table. at the end of the table. the stone is hooked to a cable with a lengthof 62.0 cm to rotate it to a rough table to store until they can be picked up. the roughtable has a coefficient of static friction 0.702 with the polished stone. remember that 8= 9.80 m/s2a) what is the speed of the stone when it is hooked to the cable? b) what is the tension in the cable while the stone is rotating? (there is still nofriction)c) how much force is needed to make the stone begin sliding from rest on therough table? ius = 0.70262.0 cm30.5 kg20.5 kg6= 0