The van travels over the hill described by y =(−1.5(10^−3)x^2 + 15 ft. If it has a constant speed of 75 ft/s, determine the x and y components of the van’s velocity and acceleration when x = 50ft

An airplane takes off as shown following a trajectory described by equation y= kx², where K = 2 × 10-4 ft-1. When x= 1050 ft, the speed of the plane is vo = 110 mph. Using the component system shown, provide the expression for the velocity of the airplane when x = 1050 ft. Express your answer in ft/s. (Round the final answers to four decimal places.) y Ĵ path of A- ·X The expression for the velocity of the airplane is || = < + ^ j) ft/s.

A boat has an initial speed of 16 ft/s. If it then increases its speed along a circular path of radius ρ=80 ft at the rate of  v =(1.5s)ft/s, where s is in feet determine the normal and tangential components of the boat acceleration at s=16ft

A particle is traveling along the parabolic path y = 0.25x^2. If x = 8 m, Vx = 8 m/s, and Ax = 4 m/s^2 when t = 2 s, determine the magnitude of the particle’s velocity and acceleration at this instant