A projectile is fired from the ground with an initial velocity v_o = 10 m/s i + 14 m/s j as shown in figure below.

a) What is the magnitude of the initial velocity and at what angle above the horizontal is the ball fired?

b) What is the horizontal displacement x of the projectile 2 sec after launch?

c) What is the vertical component of the velocity vector at the same instant (2 sec after launch) ? Is the projectile moving up or down in this moment ? Explain.

d) What will be the total horizontal distance of this projectile?

e) How much time does it take for the ball to reach the ground?

f) Find the second angle at which the projectile can be fired to reach the same range?

A 100-kg crate is pushed at constant speed up the frictionless incline by a force parallel to the incline. The angle of the incline is 32^o .

a) Draw the free-body diagram for the crate.

b) What magnitude of the parallel force is required?

c) Find the normal force exerted by the crate on the incline.

Two crates, of mass 80 kg and 110 kg, are in contact on a horizontal, frictionless table as was shown below. A 650-N force is exerted on the 80-kg crate.