The automobile is originally at rest s = 0. If it (0.05t2) ft/s², where t is in seconds, determine the magnitudes of its velocity and *12-116. %3D then starts to increase its speed at v = acceleration at s = 550 ft. %3D 300 ft - 240 ft

If a car is traveling at 88.5 km/h, determine its speed in meters per second.

The velocity of a particle is v = { 3i + (6 - 2t)j} m/s where t is in seconds. If r = 0 when t = 0, determine the magnitude of the displacement In meters of the particle during the time interval t = 1 s to t = 3 s.

the vertical ground reaction force from a force plate during the contact phase for a 55 kg runner. If the initial vertical velocity of the runner when she first makes contact with the plate is directed 0.40 m/s downwards, determine the following:a) the vertical velocity (including direction andmagnitude) just as the runner comes off the plate at the end of ground contact. (Average net force includes the effect of gravity and thevertical ground reaction force acting on therunner) b) the average vertical ground reaction forceduring the ground contact phase of the run

The jet is traveling at a speed of 500 mi/h, 30degrees with the horizontal If the fuel is being spent at 4 lb/s , and the engine takes in air at 410 lb/s , whereas the exhaust gas (air and fuel) has a relative speed of 32700 ft/s , determine the acceleration of the plane at this instant. The drag resistance of the air is FD=(0.7v2)lb, where the speed is measured in ft/s. The jet has a weight of 15000 lb

A projectile, initially at the origin, moves along a straight-line path through a fluid medium such that its velocity is v=1800(1-e^-0.3t)mm/s where t is in seconds. Determine the displacement of the projectile during the first 3 s.

The 2.4-Mg car increases its speed uniformly from rest to 22 m/s in 38 s up the inclined road. (a) Determine the maximum power that must be supplied by the engine, which operates with an efficiency of ϵ = 0.8. Express your answer with the appropriate units.   (b)  Also, find the average power supplied by the engine. Express your answer with the appropriate units.   Please use watts, not Mw for final answer.

The 2-Mg car increases its speed uniformly from rest to 19 m/s in 28 s up the inclined road Part 1: Determine the maximum power that must be supplied by the engine, which operates with an efficiency of ϵ = 0.8 (figure 1) Part 2: Also, find the average power supplied by the engine

A mine car has a mass m = 250 kg and it is hoisted up theincline using the cable and motor M.The force in the cable is F(t) =  1050 + (45)(t^2)  , N where t is inseconds.If the car has an initial velocity V1 =3 m/s at s = 0 and t = 0. 1) What is the velocity of the car when t = 3 s. 2)  What is the distance it moves up the plane when t = 3 s.

The two spheres each have a mass of 3 kg and are attached to the rod of negligible mass. If a torque M = (6e0.2t )Nm, where t is in seconds, is applied to the rod as shown, determine the speed of each of the spheres in 2s, starting from rest.