An Acapulco cliff diver in (m = 70.0 kg) jumps 30.0 meters from the top of the cliff toward the ocean below. However, in a freak accident, half-way down 8.00 meters from his launch point, he crashes into a hang glider (total mass 85.0 kg) flying horizontally at 6.5 m/s. Assuming an inelastic collision and terminal velocity from that point on, how far from the intended entry point do the two hit the ocean, and how fast are they moving? For simplicity, assume no air drag during the diver's free fall and a value of g = 10 m/s2.

A firework is launched and has a strictly vertical trajectory. It has velocity of 30 m/s right before it explodes. After it explodes, it instantaneously splits into three projectiles of equal mass. One of the projectiles continues to travel straight upwards with a velocity of 50 m/s. The right-most projectile now has an upward velocity of 45 m/s at 25◦ right of vertical. What is the final velocity of the left-most projectile?

The fisherman's mass is 70 kg, and the rowboat's is 119 kg. The fisherman and rowboat are initially at rest when the fisherman throws a package of mass m = 15 kg horizontally to the right with a speed of vi = 4.7 m/s. What is the velocity of the rowboat after the package is thrown? Neglect any resistance force from the water. (Give the magnitude in m/s, and select the correct direction from the options given.) A fisherman in a rowboat throws a package of mass m to the right with velocity vector vi. magnitude                       m/s toward what direction

A rocket, which is in deep space and initially at rest relative to an inertial reference frame, has a mass of 72.9 x 105 kg, of which 14.7 x 10° kg is fuel. The rocket engine is then fired for 300 s, during which fuel is consumed at the rate of 360 kg/s. The speed of the exhaust products relative to the rocket is 3.82 km/s. (a) What is the rocket's thrust? After the 300 s firing, what are (b) the mass and (c) the speed of the rocket? (a) Number i Units (b) Number Units (c) Number i Units

A rocket, which is in deep space and initially at rest relative to an inertial reference frame, has a mass of 78.4 × 105 kg, of which 8.68 × 105 kg is fuel. The rocket engine is then fired for 340 s, during which fuel is consumed at the rate of 340 kg/s. The speed of the exhaust products relative to the rocket is 3.78 km/s. (a) What is the rocket's thrust? After the 340 s firing, what are (b) the mass and (c) the speed of the rocket? (a) Number 1290000 Units N (b) Number 7720000 Units kg (c) Number 3830 Units m/s

A 28-g bullet moving horizontally strikes and remains in a 2.6-kg block initially at rest on the edge of a table. The block, which is initially 88 cm above the floor, strikes the floor a horizontal distance of 113 cm from its initial position. What was the initial speed of the bullet?