I need help answering these physics problems

1) Suppose you decide, for some odd reason, to randomly dig a hole 10 meters deep. You then launch a projectile of mass m = 0.4kg from the bottom of the hole, with an initial speed vo = 35 m/s, and at angle of 200 above the horizontal. (e Find the entire time of flight of the projectile. day pace b) What is the maximum height of the projectile, as measured relative to the bottom of the hole? c) What is the potential energy of the projectile at it's maximum height? d) What is the total horizontal displacement of the projectile. 2) A block of mass M = 0.3 kg is attached to a spring, and rests un-stretched on a frictionless surface. Suddenly there is an explosion and a fragment of the mass m1 = 0.1 kg flies off in a direction anti-parallel to the piece still attached to the spring. The spring constant value k = 25 N/m.Rich a) What is the recoil speed of the piece of mass still connected to the block immediately following the explosion? (Hint: use momentum conservation.) What is the frequency w with which the spring-mass system subsequently oscillates? C ) What is the amplitude of the oscillatory motion? (Hint: the velocity from part(a) is the maximum velocity of the oscillator.) d) What is the total energy of the oscillator? e) What is the maximum force that that spring exerts on the mass during the oscillation? as meas Me 3) A block of mass m is released from rest from the top of an incline. Assume the surface is frictionless. The incline is at an angle of 25 , and the length of the incline is 8 m. Once at the bottom, it encounters a horizontal surface with a coefficient of kinetic friction is MK = 0.17. The mass m = 8 kg. a) How far does the mass travel before it comes to rest? b) How much work is done by friction over the horizontal surface? c) Graph the velocity vs time for the following two scenarios: i ) The mass as it slides down the incline ii) The mass is as slides across the horizontal surface onn tea. her atilt