13 2x(-Sinx):Product Rule+(lov) COSX%3DI sinx71-213. A 6 ft tall man throws a shot put with an initial velocity of 55 ft/sec. The height of the shot aftert seconds can be modeled by s(t) = 6+55t-16t2.a. Find the shot's velocity at time t.b. Find the shot's speed at time t.c. Find the shot's acceleration at time t.d. How long will it take the shot to hit the ground? Round the answer to the nearest tenth ofa second.e. What is the velocity of the ball when it hits the ground?14. Consider the curve defined by x?y2 - 3x2-6y2 = 0.dy.a. Use implicit differentiation to finddxb. the slope of the curve at the point (-1, 1)15. Sand falls from a conveyor belt at a rate of 12 m3 /min onto the top of a conical pile. The radiusof the base is always three-fourths the height of the pile. How fast is the height changing whenthe pile's height is 4 m? Give the simplified exact (in terms of ) answer and appropriate units.

Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If you want remaining sub-parts to be solved, then please resubmit the whole question and specify those sub-parts you want us to solve. Answer: 1. The velocity v of the shot at time t is calculated in the following way.b. The speed v of the shot at t time is calculated in the following way. c. The acceleration a of the shot at t time is calculated in the following way. Note that the Y-axis is taken along the vertical direction.