cyanwasp812Lv1
29 Nov 2021
Problem 46
Page 322
Section 4.8: Antiderivatives
Chapter 4: Applications of Differentiation
Textbook ExpertVerified Tutor
29 Nov 2021
Given information
Given :- The first is thrown with a speed of 48 ft/s and the other is thrown a second later with a speed of 24 ft/s.
To find :- Do the balls ever pass each other?
Step-by-step explanation
Step 1.
The expressions for the ball’s height and velocity as functions of time are:-
For the case ,
Using the velocity function, enforce v(t) = 0 and solve for t:
Substitute the initial velocities for Ball A and Ball B to form two expressions. We must consider that these expressions yield the time-to-zenith (TTZ) from the time of launch for each ball. Therefore we must make allowance for the 1 second delay between throws in this case by either adding 1 to the TTZ for Ball B or subtracting it from Ball A. Let us subtract from TTZ for Ball A. Time-to-zenith for Balls A and B:
, 
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
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