You throw a bowling ball vertically with an initial velocity of 25 meters per second. The height of this bowling ball in meters with time measured in seconds is modeled by the function H₁ (t) = -5t² + 25t. You wait one second and then throw another ball vertically with initial velocity 30 meters per second. Its height is modeled by H₂ (t) = -5(t− 1)² + 30(t-1). At what time (if any) will the two balls collide? How high are the balls when they collide?

You throw a bowling ball vertically with an initial velocity of 25 meters per second. The height of this bowling ball in meters with time measured in seconds is modeled by the function H₁ (t) = -5t² + 25t. You wait one second and then throw another ball vertically with initial velocity 30 meters per second. Its height is modeled by H₂ (t) = -5(t− 1)² + 30(t-1). At what time (if any) will the two balls collide? How high are the balls when they collide?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

You throw a bowling ball vertically with an initial velocity of 25 meters per second. The height of this bowling ball in
meters with time measured in seconds is modeled by the function
H₁ (t) = -5t² + 25t.
You wait one second and then throw another ball vertically with initial velocity 30 meters per second. Its height is
modeled by
H₂(t) = -5(t− 1)² + 30(t-1).
At what time (if any) will the two balls collide? How high are the balls when they collide?

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