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(iii) (1) Find the x-intercepts of the parabola. Give your answers in decimal form, correct to two decimal places. (2) Assume that the ball lands on the ground. Use your answer from part (d) (iii) (1) to find the horizontal distance between where Dominic throws the ball, and where the ball first lands. (iv) Find the maximum height reached by the ball.

(iii) (1) Find the x-intercepts of the parabola. Give your answers in decimal form, correct to two decimal places. (2) Assume that the ball lands on the ground. Use your answer from part (d) (iii) (1) to find the horizontal distance between where Dominic throws the ball, and where the ball first lands. (iv) Find the maximum height reached by the ball.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(d) Using a throwing stick, Dominic can throw his dog's ball across the park. Assume that the park is flat. The path of the ball can be modelled by the equation y = -0.02x² + x + 1.8, where x is the horizontal distance of the ball from where Dominic throws it, and y is the vertical distance of the ball above the ground (both measured in metres).
Transcribed Image Text:(d) Using a throwing stick, Dominic can throw his dog's ball across the park. Assume that the park is flat. The path of the ball can be modelled by the equation y = -0.02x² + x + 1.8, where x is the horizontal distance of the ball from where Dominic throws it, and y is the vertical distance of the ball above the ground (both measured in metres).
(iii) (1) Find the x-intercepts of the parabola. Give your answers in decimal form, correct to two decimal places. (2) Assume that the ball lands on the ground. Use your answer from part (d) (iii) (1) to find the horizontal distance between where Dominic throws the ball, and where the ball first lands. (iv) Find the maximum height reached by the ball.
Transcribed Image Text:(iii) (1) Find the x-intercepts of the parabola. Give your answers in decimal form, correct to two decimal places. (2) Assume that the ball lands on the ground. Use your answer from part (d) (iii) (1) to find the horizontal distance between where Dominic throws the ball, and where the ball first lands. (iv) Find the maximum height reached by the ball.
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