Question: Amy throws a ball so that when it is at its highest point,it passes through a hoop. The path of the ball is modelled by

Amy throws a ball so that when it is at its highest point,it passes through a hoop. The path of the ball is modelled by the equation y=h+kx-0.5x² , where y is the height of the ball above the ground and x is the horizontal distance from the point at which the ball was thrown. The centre of the hoop is at the point where x=2 and y=5

Please find the values of h and k, and find the value of x at which the ball hits the ground

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

1. Solve each of the following quadratic equations, if possible, giving answers in exact form. (1) 2x - x-3=0 (1i) 3x-2x+4=0 (iii) x'+5x-1=0 [5] 2. (i) Write the quadratic expression x + 4x +5 in the...

An advertising company is comparing published listening figures for different radio stations and podcasts in order to decide where is the best place to put their adverts. The audience figures for the...

Question 3 - 20 marks Throughout this question, you should use algebra to work out your answers, showing your working clearly. You may use a graph to check that your answers are correct, but it is...

Hi please can you help with section d and lay it out so I can understand the working out equations intersect: 4x + 8y = 32, -2r+y =-6. [3] (d) Using a throwing stick, Dominic can throw his dog's ball...

2. The position x of an object is given by the equation x = A + Bt +Ct, where t refers to time. What are the dimensions of A, B, and C? A) time, time, time D) distance/time, distance/time?, B)...

A stone is thrown horizontally with an initial Speed 0f10 m/s from th d e e stones trajectory time from the top of the cliff t0 the bottom to be 4 3 s g6 of a cliff. A stop watch measm-es the What is...

QUESTION 6 A person throws a ball upward into the air with an initial velocity of 15 m/s. Her hand is 1.2 m above the ground. Take g = 9.80 m/s2. Ignore air resistance and take downwards as -ve. What...

Question 11 (2 palms} Bill throws a tennis ball to his dog. He throws the ball at a speed of 1 5 mfs at an angle of 30 to the horizontal. Assume he throws the ball from ground level. a. If Bill and...

In the game of baseball, a pitcher throws a ball towards a batter who tries to hit it. In our simplied version of the game, the pitcher can pitch high or pitch low, and the batter can swing high or...

A Game of Frictionless Catch 1 of 1 Constants Introduction Chuck and Jackie stand on separate carts, both of which can slide without friction. The combined mass of Chuck and his cart, mcartmcart, is...

ALGEBRAIC EXPRESSIONS In algebra, a term is an individual part of an algebraic expression. Terms are separated by addition (+) or subtraction (-) signs, and can consist of numbers, variables...

The circuit shown in Figure P 5.4-14 contains an unspecified resistance, R. Determine the value of R in each of the following two ways. (a) Write and solve mesh equations. (b) Replace the part of the...

________ refers to behavior based on traditions, concerns for other people, and values they share together. Question 1 options: collectivism individualism democracy ethnocentricism

Julian Birkinshaw, James Manktelow, Vittorio DAmato, Elena Tosca, and Francesca Macchi In recent years, one of the most profound transformations in the workplace has been the increase in age...