A 2.0 kg projectile with initial velocity v→ = 6.5 ı^ m/s experiences the variable force  F→ =-2.0t ı^ + 4.0t^2 ȷ^ N, where t is in s. What is the projectile's speed at t = 2.0 s? At what instant of time is the projectile moving parallel to the y-axis?

An initially stationary iron ball is dopped from rest inside of a steel drum containing a liquid. Its acceleration is given by a = 6.1-1.5v cm/s2 Where v is the velocity in cm/s. At t=2s (2 seconds after it is released), what is the the iron ball's downward velocity in cm/s?

Initially, a warehouse worker pushes a 55 [N] box on a flat, rough, horizontal surface just enough so that the box moves with a constant velocity of 4.2 [m/s].However, he gets tired and suddenly stops pushing the box. With the coefficient of kineticfriction between the box and the surface equal to 0.45, how long does it take for the box tostop? A. 0.95 [s]B. 2.1 [s]C. 4.4 [s]D. 9.3 [s

A particle with mass 0.9 kg is pulled vertical upwards from rest by means of a cord with an acceleration of 3.4 m/s2 for 4 seconds before the cord breaks. What is the acceleration of the particle the moment just after the cord broke? Give the magnitude and choose the unit and direction.

You are working part-time for the GT Sports Media Complex, editing video for the women’s softball team. In one particular clip, a GT player hits a home run over the center field fence. The ball leaves the bat at a height of 4 ft, and crosses the outfield fence (220 ft away) at a height of 10 ft. Logs of the game indicate that the pitch was clocked at 68 mph as it reached the plate. Your frame-by-frame analysis of the 30-frame-per-second video indicate that the ball spent only a single frame in contact with tha bat, and another 126 frames travelling to the outfield fence. A quick internet seach tells you that a typical college softball weighs 0.4 lb. How many pounds of average force act on the ball during ocntact with the bat?

A hockey puck (mass = 4 kg) leaves the players stick with a speed of 12 m/s and slides on the ice before coming to rest. The coefficient of friction between the puck and the ice is 0.3. How far will the puck slide after leaving the players stick?

A 1.90 kg box is moving to the right with speed 9.00 m/s on a horizontal, frictionless surface. At t = 0 a horizontal force is applied to the box. The force is directed to the left and has magnitude F(t)=( 6.00 N/s^2 )t2 If the force continues to be applied, what is the velocity of the box at 3.50 s?

A golf ball (m = 67.8 g) is hit by a clab that makes an angle of 25.1° with the horizontal. The ball lands 222 m away on a flat fairway. The acceleration of gravity is 9.8 m/s2. If the golf club and ball are in contact for 3.34 ms, what is the average force of impact? Neglect air resistance. Answer in units of N.

At t = 0, a cart of mass m = 5 kg starts rolling down an incline, making an angle α = 20o with the horizontal. Initially the cart rolls down with no friction, but after traveling a distance of ∆ = 10 m it encounters a rough surface, where the coefficient of friction is k = 0.45. Find the acceleration of the cart along the incline (positive direction is downhill) after it encounters the rough surface.   A.9.8 m/s2  B.9.2 m/s2  C.7.7 m/s2  D.3.6 m/s2  E.3.4 m/s2  F.-0.8 m/s2

SITUATION 9. A small projectile is fired vertically downward into a fluid medium with an initial velocity of 60m/s. Due to the drag resistance of the fluid the projectile experiences a deceleration of a = -0.4v³m/s², where v is in m/s. Determine the projectile's velocity and position 4 s after it is fired.