At the instant shown, the acceleration of Point A is 4 m/s^2 in the direction shown. The mass of crate B is 10 kg and the mass of crate C is 2.5 kg. Solve for the acceleration of crate B and C by following the required solution procedure. A 4 m/s?

The vector position of a particle varies in time according to the expression  = 3.80 î − 8.80t2 ĵ where  is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.)   =       m/s (b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.)   =       m/s2 (c) Calculate the particle's position and velocity at t = 5.00 s.   =       m   =       m/s

The kingda ka roller coaster in New Jersey is the world's tallest ride of it's kind. As the passenger cars are launched from rest at the start, they are accelerated uniformly to a speed of 57 m/s (128 mph) in just 3.5 s. ( assume the cars are launched in the positive horizontal direction . Indicate the direction with the sign of your answer where appropriate. a) what is the acceleration experienced by passengers on this ride in m/s ^2?  b) what is the acceleration experienced by passengers on this ride in g's?  c) if a certain passenger has a mass of 78kg what is the force in Newtons that acts on him during the launch phase of this ride? d) what is the force in pounds that acts on him during the launch phase of this ride?

Acceleration of a falling body a. Find the acceleration a(t) = v'(t) of a falling body whose velocity is given in part (a) of Exercise 96. b. Compute lim a(t). Explain your answer as it relates to %3D terminal velocity (Exercise 97).

A boxer's fist and glove have a mass of m = 1.04 kg. The boxer's fist can obtain a speed of v = 9.25 m/s in a time of t = 0.21 s. Write a symbolic expression for the magnitude of the average acceleration, aave, of the boxer's fist, in terms of the variables provided.  Find the magnitude of the average acceleration, aave, in meters per square second. Write an expression for the magnitude of the average net force, Fb, that the boxer must apply to his fist to achieve the given velocity. (Write the expression in terms of m, v and t.) What is the numerical value of Fb, in newtons?

A rocket is launched at an angle of 60.0° above the horizontal with an initial speed of 95 m/s. It moves for 3.00 s along its initial line of motion with an acceleration of 32.0 m/s2. At this time its engines fail and the rocket proceeds to move as a free body. a. Find the maximum altitude reached by the rocket. _______m b. Find its total time of flight. _______ s c. Find its horizontal range _______ m

In an experiment to determine the viscosity of some oil, a ball is dropped into the oil. The position of the ball is given by the formula y(t)=A+Bt+Ce^−Dt, where y is given in m, and t is the time in s. At t=0, y(0)=0.07 m, the y component of the velocity is zero and the y component of the acceleration is ay(0)=0.015 m/s^2. As t approaches infinity, the y component of the velocity approaches vy(∞)=0.55 m/s.  The problem asks you to find what A, B, C, and D are. I found that B = 0.55 m/s and I believe I can crack if I just knew what one more constant was. However, I am completely stumped.

The acceleration of a rocket is a = -bV, where V is the speed of exhaust gases coming out of the thruster. What are the SI units of b?