A baseball is thrown from a platform 10 meters above the origin (so its position in the xy-plane is a function of time t, with x(0) = 0 and y(0) = 10) in such a way that its horizontal and vertical velocity are both initially 5 meters per second. You may assume that the acceleration due to gravity is −10 meters per second squared in the y-direction, and 0 in the x-direction.

(a) Find an expression for the velocity of the ball in the y-direction as a function of time vy(t).

(b) Find an expression for the position of the ball in the y-direction, i. e. its height, as a function of time y(t).

(c) At what time t does the ball hit the ground?

(d) What is the x-coordinate of the ball at the moment it hits the ground

Ben(55 kg) is standing on very slippery ice when junior(25kg) bumps into him. junior was moving at a speed of 8m/s before the collision and ben and junior embrace after the collision. find the speed of ben and junior as they move across the ice after the collision .

What is the measurement of how fast an object moves relative to a reference point?

To place a communications satellite into a geosynchronous orbit at an altitude of 22,240 mi above the surface of the earth, the satellite first is released from a space shuttle , which is in a circular orbit at an altitude of 185 mi, and then is propelled by an upper-stage booster to its final altitude. as the satellite passes through a, the booster's motor is fired to insert the satellite into an elliptic transfer orbit. the booster is again fired at b to insert the satellite into a geosynchronous orbit. knowing that the second firing increases the speed of the satellite by 4810ft/s, determine (a.) the speed of the satellite as it approaches b on the elliptic transfer orbit, (b.) the increase in speed resulting from the first firing at a.