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3 years ago

5

During which stage of developing the global positioning system did engineers first apply the theory of relativity to design the

product?

1 answer:

dolphi86 [110]3 years ago

7 0

b. second

Scientists would have used the theory of relativity when designing their experiment, and design is the second stage of the engineering process.

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A shell is launched with a velocity of 100 m/s at an angle of 30.0° above horizontal from a point on a cliff 50.0 m above a leve

natita [175]

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<em>The shell strikes the ground 963 m far from the base of the cliff.</em>

Explanation:

<u>Projectile Motion</u>

Suppose an object is launched from a height yo from the ground level at an initial speed vo and an angle $\theta$ respect to the horizontal reference, the height of the object at any time t is given by

$\displaystyle y=y_o+v_o\ sin\theta \ t-\frac{gt^2}{2}$

And the horizontal distance traveled by the object at any time t is

$\displaystyle X=v_o\ cos\theta\ t$

The shell is launched at 100 m/s and 30° from a point at a height of 50 m. We need to find the time at which the shell hits the ground after launch time. Replacing the values into the equation:

$\displaystyle 50+100\ sin\ 30^o\ t-\frac{9.8t^2}{2}=0$

Operating and rearranging

$\displaystyle -4.9\ t^2+50\ t+50=0$

This is a second-degree equation in t that has two real answers:

$\displaystyle t=11.125\ sec,\ t=-0.92\ sec$

Only the first answer will be used, since the time cannot be negative. Now we know the flight time, we find the horizontal distance from the base of the cliff where the shell hit the ground

$\displaystyle X=100\cdot cos\ 30^o\cdot 11.12$

$\displaystyle \boxed{X=963\ m}$

The shell strikes the ground 963 m far from the base of the cliff.

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3 years ago