Needs help for a dynamics problem

How can I proceed for to solve this problem below. Note: This problem came from the "kinematics of particles" part holding the "Determination of the motion of a particle" section, so use the formulae relating to this section of this part. The asking problem: A projectile enters a resisting medium at x = 0 with an initial velocity Vo = 900 ft/s and travels 4in. before coming to rest. Assuming that the velocity of the projectile was defined by the relation V = Vo - kx, where V is expressed in ft/s and x in feet, determine the initial acceleration of the projectile. The answer of this problem for your verification is: -2.43 x 10^6 ft/s^2

Difficulty over a problem relating to the motion of a projectile

How can I solve this problem below. This problem was taken from the curvilinear motion of particles inside the kinematics of particles section. So, for my understanding of this theory, can you solve this problem with respect to the formulae of these sections please. Note: Neglect the air resistance of this problem. The asking problem: A player throws a ball with an initial velocity Vo of 15 m/s from a point A located 1.5 m above the floor. Knowing that the ceiling of the gymnasium is 6 m high, determine the highest point B at which the ball can strike the wall 18 m away. I let with this problem the drawing relating to it. The answer of this problem for your verification is: 4.34 ... click for more

Relative motion problem

How can I solve this problem below. At t=0, wedge A starts moving to the right with a constant acceleration of 100 mm/s^2 and block B starts moving along the wedge toward the left with a constant acceleration of 150 mm/s^2 relative to the wedge. Determine the acceleration of block B. The answer for verification is 80.7 mm/s^2 with an angle of 68.3 degree west of south.

Velocity and Moment of Inertia

**Please see attachment for proper citation of symbols (NOT "") and for diagram. Help the military to launch aerial targets. The proposed device is based on an ancient engine of war - a trebuchet. As shown below, the trebuchet consists of a pipe, pinned at B, a bucket to hold the targets at C, and a counterweight at A. A motor attached to the pin at B will apply a constant torque to rotate the arm back from  as shown until  = 0°, at which point a ratchet gear engages to hold the arm horizontal, and the motor disengages. The target is loaded into the bucket, the ratchet is released, and the counterweight causes the arm to swing up until it hits a stop at ... click for more

Deformed Surface Orientation

Suppose we want to determine how much of the orientation of the surface of a deformed body has changed from its original orientation ... **See attachment for complete question