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# Projectile explorations A projectile launched from the ISBN: 9780321570567 2

## Solution for problem 86E Chapter 10.1

Calculus: Early Transcendentals | 1st Edition

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Problem 86E

Projectile explorations A projectile launched from the ground with an initial speed of 20 m/s and a launch angle θ follow a trajectory approximated by ,

where x and y are the horizontal and vertical positions of the projectile relative to the launch point (0, 0).

a. Graph the trajectory for various values of θ in the range 0<θ<π/2.

b. Based on your observations, what value of θ gives the greatest range (the horizontal distance between the launch and landing points)?

Step-by-Step Solution:
Step 1 of 3

Solution  86E

Given date

The trajectory of the projectile is given by

x  = (20 cos ) t, y = -4.9t2 + (20 sin t, r Step 2 of 3

Step 3 of 3

##### ISBN: 9780321570567

Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This full solution covers the following key subjects: launch, projectile, range, trajectory, horizontal. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. Since the solution to 86E from 10.1 chapter was answered, more than 264 students have viewed the full step-by-step answer. The answer to “Projectile explorations A projectile launched from the ground with an initial speed of 20 m/s and a launch angle ? follow a trajectory approximated by ,where x and y are the horizontal and vertical positions of the projectile relative to the launch point (0, 0).a. Graph the trajectory for various values of ? in the range 0<?<?/2.b. Based on your observations, what value of ? gives the greatest range (the horizontal distance between the launch and landing points)?” is broken down into a number of easy to follow steps, and 78 words. The full step-by-step solution to problem: 86E from chapter: 10.1 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1.

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