An object has a constant acceleration of 10ft/sec2, an initial velocity of −20ft/sec, and an initial position of 8 ft. Find the position function, s(t), describing the motion of the object.

The function s(t): describes the distance (in feet) of an object from a specific location t + 1 P along a linel at the end of t seconds where t 2 0. Find the velocity of the object at t = 9 seconds. Is the object ever momentarily stopped, i.e., is the velocity ever zero?

A particle's velocity is given by vlt) = -atj, where a = 0.725 m/s? is a constant. (a) Describe the particle's motion. In particular, is it speeding up, slowing down, or maintaining constant speed? speeding up slowing down O maintaining constant speed (b) Find the particle's velocity at t- 0, t= 17.5 s, and t- 6.40 min. (Express your answer in vector form.) vy-0 at t-0 m/s at t- 17.5 S m/s at t-6.40 min -278.4 m/s

A ball is thrown upward from the top of a building with a velocity of 14.7 meters / sec. and after reaching its maximum height, it begins to descend in free fall until it reaches the ground (down on the road). If we take the top of the building as a reference: a) Determine the time (tymax.) at which the ball reaches its maximum height and the value of said maximum height (ymax-). b) Determine the position (y) and the velocity (v,) of the ball for a time equal to 2 seconds. For the 2-second time, is the ball above the top of the building or below the top of the building? Is the ball going up or down? c) Determine the position (y) and the velocity (v,) of the ball for a time equal to 4 seconds. For the 4-second time, is the ball above the top of the building or below the top of the building? Is the ball going up or down? d) Determine the velocity (v,) of the ball at a height of 6 meters above the top of the building. Explain your answer in terms of the signs obtained in your result.