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Katarina [22]
3 years ago
10

A rocket is launched and the observer measuring the rocket altitude is standing at a distance of 200 feet from the launcher. Whe

n the rocket reaches apogee, the observer measures an angle of 45° using an altitude scope. Calculate the altitude of the rocket to the nearest foot.
Physics
1 answer:
Gre4nikov [31]3 years ago
7 0

Answer:

100 foot

Explanation:

Using the formula for calculating range to calculate the speed first as shown;

<h3>Range R = U²sin 2theta/g</h3>

U is the speed

theta is the observe angle

g is the acceleration due to gravity.

200 = U²sin 2(45)/9.8

Usin90 = 200 * 9.8

U² = 1960

U = √1960

U = 44.27 m/s

Get the required altitude

Altitude H = u²/2g

H = 44.27²/2(9.8)

H = 1,959.8329/19.6

<em>H = 99.99 feet</em>

<em>Hence the altitude of the rocket to the nearest foot is 100 foot</em>

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