(1 point) The heights of a ball (in feet) at time t (in seconds) is given...
10. The time,t,in seconds varies directly with the square root of the distance, d, in feet that a dropped ball has fallen. It takes 2 seconds for a ball to fall 64 feet. a. Find a formula to model this situation. b. How long would it take for the ball to fall 100 feet?
a ball is thrown upward at 64 feet per second from the top of an 80 feet high building. The height of the ball can be modeled by S(t) = -16t^2 + 64t + 80(feet), where t is the number of seconds after the ball is thrown. describe the graph model
The velocity at time t seconds of a ball launched up in the air is v(t)32t 104 feet per second. Complete parts a and b. a. Find the displacement of the ball during the time interval 0sts3. The displacement of the ball is feet. b. Given that the initial position of the ball is s(0)-6 feet, use the result from part a to determine its position at time t = 3 The position of the ball is at feet. The...
(c) The ball is at its maximum height after _____ seconds. (d) The maximum height of the ball is ______ meters (e) The ball traveled a total horizontal distance of _______ meters. (ROUND TO TWO DECIMAL PLACES) A baseball player throws a baseball with an initial speed of 155 feet per second at an angle of 23 to the horizontal. The ball leaves his hand at a height of 6 feet. (a) Find parametric equations that describe the position of...
Problem 1. 128 325 feet. (1 point) A steel ball weighing 128 pounds is suspended from a spring. This stretches the spring The ball is started in motion from the equilibrium position with a downward velocity of 8 feet per second. The air resistance (in pounds) of the moving ball numerically equals 4 times its velocity (in feet per second) Suppose that after t seconds the ball is y feet below its rost position. Find y in terms of t....
A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function h(t)=104t-16t^2 .After how long will it reach its maximum height? Do not round your answer.
(1 point) A ball is dropped from a height of 10 feet and bounces. Suppose that each bounce is 5/8 of the height of the bounce before. Thus, after the ball hits the floor for the first time, it rises to a height of 10 ) = 6.25 feet, etc. (Assume g = 32ft/s and no air resistance.) A. Find an expression for the height, in feet, to which the ball rises after it hits the floor for the nth...
A baseball player at second base throws a ball 87 feet to the player at first base. The ball is thrown 5 feet above the ground with an initial velocity of 50 miles per hour and at an angle of 16 above the horizontal. At which height does the player at first base catch the bal1? Round your answer to three decimal places. 15. a. 7.576 feet b. 6.676 feet c. 5.476 feet d. 6.076 feet e5.576 feet quarterback of...
A ball is thrown vertically upward with an initial velocity of 96 feet per second. The distance s (in feet) of the ball from the ground after t seconds is s(t)=96t-16t^2a.) at what time will the ball strike the groundb.) for what time t is the ball more than 128 feet above the ground?c.) when will the ball reach its highest peak? how high is it above the ground?
(3 points) A ball is dropped from a height of 10 feet and bounces. Suppose that each bounce is 5/8 of the height of the bounce before. Thus, after the ball hits the floor for the first time, it rises to a height of 10 ) = 6.25 feet, etc. (Assume no air resistance.) A. Find an expression for the height, in feet, to which the ball rises after it hits the floor for the nth time: hn = 10(5/8)^n...