1
answer
0
watching
85
views
13 Nov 2019
Problem 1 (Application of Geometric Series): A ball was dropped from a height of 5 feet and begins bouncing The height of each bounce is three-fourths the height of the previous bounce.Thus after the ball hits the floor for the first time, the ball rises to a height of 5(24 ) = 3.75 feet, and after it hits the floor for the second time, the ball rises to a height of 3.750 34) 5(34)2-2.8125 feet. (1) Find an expression for the height to which the ball rises after it hits the floor for the nth time. (2) Find an expression for the total vertical distance travelled by the ball when it hits the floor for the first, second, third and fourth times. (3) Find an expression for the total vertical distance the ball has traveled when it hits the floor for the nth time,Express your answer in closed form!Hint2 k-0 ark = a l-r/1-r] (4) You might think that the ball keeps bouncing forever since it takes infinitely many bounces so, continuing the above process can you find the total vertical distance travelled by the ball.
Problem 1 (Application of Geometric Series): A ball was dropped from a height of 5 feet and begins bouncing The height of each bounce is three-fourths the height of the previous bounce.Thus after the ball hits the floor for the first time, the ball rises to a height of 5(24 ) = 3.75 feet, and after it hits the floor for the second time, the ball rises to a height of 3.750 34) 5(34)2-2.8125 feet. (1) Find an expression for the height to which the ball rises after it hits the floor for the nth time. (2) Find an expression for the total vertical distance travelled by the ball when it hits the floor for the first, second, third and fourth times. (3) Find an expression for the total vertical distance the ball has traveled when it hits the floor for the nth time,Express your answer in closed form!Hint2 k-0 ark = a l-r/1-r] (4) You might think that the ball keeps bouncing forever since it takes infinitely many bounces so, continuing the above process can you find the total vertical distance travelled by the ball.
Jean KeelingLv2
21 Apr 2019