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Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 6: Q 124. (page 383)

The projectile is fired at an angle of 50掳 to the horizontal with an initial speed of 200 feet per second.Find the range and height.

Short Answer

Expert verified

The range is 4019.5 and height is 1150041 .

Step by step solution

01

Step 1. Given information .

Consider the given initial speed 200 meter per second and angle is $50 掳$ .

02

Step 2. Formula used .

The formula used to find range is $R (胃) = \frac{{谓_{o}}^{2} (\sin 2 胃)}{g}$ and to find height is $H (胃) = \frac{{谓_{o}}^{2} {(\sin 胃)}^{2}}{2 g}$ .

03

. Finding range and height.

Substitute the values in formula where initial speed $谓_{o} = 200, 胃 = 50 掳$ .

$R (胃) = \frac{{谓_{o}}^{2} (\sin 2 胃)}{g} R (胃) = \frac{{(200)}^{2} (\sin 2 脳 50 掳)}{9 路 8} R (胃) = 4019 路 5$

Further simplify.

$H (胃) = \frac{{谓_{o}}^{2} {(\sin 胃)}^{2}}{2 g} H (胃) = \frac{{(200)}^{2} {(\sin 50 掳)}^{2}}{2 脳 9 路 8} H (胃) = \frac{40000 脳 {(0 路 766)}^{2}}{19 路 6} H (胃) = 1150041$

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Most popular questions from this chapter

In Problems 13鈥�20, $P = (x, y)$ is the point on the unit circle that corresponds to a real number $t$ . Find the exact values of the six trigonometric functions of $t$ .

$(\frac{\sqrt{3}}{2}, \frac{1}{2})$ .

In Problems $1 - 3$ , convert each angle in degrees to radians. Express your answer as a multiple of $蟺$ .

$1 . 260 掳$

Find the exact value of each expression. Do not use a calculator.

$3 \csc \frac{蟺}{3} + \cot \frac{蟺}{4}$

Find the exact values of the six trigonometric functions of the given angle. If any are not defined, say "not defined." Do not use a calculator.

$390 掳$

In problems 13-20, $P (x, y)$ is the point on the unit circle that corresponds to a real number $t$ . Find the exact values of the six trigonometric functions of $t$ .

$(- \frac{1}{5}, \frac{2 \sqrt{6}}{5})$ .

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