A ball is dropped from a height of 50 inches. The height of the ball after each bounce is half the height the ball reached on the previous bounce. You can use a function to describe the height the ball reaches after x bounces.Write an equation for the function. If it is linear, write it in the form h(x)=mx+b. If it is exponential, write it in the form h(x)=a(b)x.

A ball is dropped from a height of 5 ft. The elasticity of the ball is such that it always bounces up one-third the distance it has fallen.(a) Find the total distance the ball has traveled at the instant it hits the ground the fifth time. (Enter an exact number.) ft(b) Find a formula for the total distance the ball has traveled at the instant it hits the ground the nth time.an = ft

Bouncing BallYou are given an array 𝐴A of length 𝑁N, where each element represents either empty ground (𝐴𝑖=0A i​ =0) or a wall (a positive integer indicating the height of the wall).You can place a ball on any empty ground (that is, choose an index 𝑖i with 𝐴𝑖=0A i​ =0) and push it either to the right or to the left.When the ball hits a wall, it decreases the height of the wall it hit by 11, and then bounces back in the opposite direction. If the wall's height reaches 00, it becomes empty ground.The ball continues to move until it goes out of bounds.Determine the number of ways to place and push the ball so that all walls are destroyed. Two ways are considered different if either the starting index of the ball or the direction of the push is different.Input FormatThe first line contains a single integer 𝑇T, denoting the number of test cases.Each test case consists of two lines of input.The first line of each test case contains a single integer 𝑁N, denoting the size of the array 𝐴A.The second line of each test case contains 𝑁N space-separated integers 𝐴1,𝐴2,…,𝐴𝑁A 1​ ,A 2​ ,…,A N​ .𝐴𝑖=0A i​ =0 means the 𝑖i-th position is empty ground, and 𝐴𝑖>0A i​ >0 denotes a wall of height 𝐴𝑖A i​ at position 𝑖i.Output FormatFor each test case, print on a new line a single integer representing the number of ways all walls can be destroyed.Constraints1≤𝑇≤1041≤T≤10 4 3≤𝑁≤1053≤N≤10 5 0≤𝐴𝑖≤1090≤A i​ ≤10 9 The sum of 𝑁N over all test cases won't exceed 2⋅1052⋅10 5 .Sample 1:InputOutput441 0 0 251 1 0 1 152 4 0 5 031000 0 9992211Explanation:Test case 11: The ball can be placed at position 22 or 33 and pushed to the right.The ball hits the wall at position 44, making its height 11. It then bounces to the left direction.The ball hits the wall at position 11, making its height 00. It then bounces in th

A ball is dropped on the ground from a height of 1m. the coefficient of restitution is 0.6. The height to which the ball will rebound is :-    0.6 m        0.4 m    0.36 m        0.16 m

A rubber ball is dropped from a certain height. After striking the floor, the ball bounces to 3/4th of the height it was dropped from. If the ball is initially dropped from a heigh of 100 meters, what is the total distance travelled by the ball before it comes to rest?

A ball is dropped from a height of 10 m. Each time itstrikes the ground it bounces vertically to a height thatis 34 of the preceding height. Find the total distance theball will travel if it is assumed to bounce infinitely often