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Vlada [557]
2 years ago
14

A rocket is launched from atop a 104-foot cliff with an initial velocity of 110 ft/s. A. Substitute the values into the vertical

motion formula . Let h = 0. B. Use the quadratic formula find out how long the rocket will take to hit the ground after it is launched. Round to the nearest tenth of a second.
Mathematics
1 answer:
miv72 [106K]2 years ago
4 0

Answer:

7.68 s

Step-by-step explanation:

The vertical motion formula is:

h_{t} = h_{0} + v_{0}t - \frac{gt^{2}}{2}

<u>Where:</u>

h(t): is the final height = 0

h(0): is the height of the cliff = 104 foot

v(0): is the initial velocity = 110 ft/s

g: is the gravity = 9.8 m/s² = 32.15 ft/s²

Hence, from the vertical motion formula we can find the time that will take the rocket to hit the ground:

0 = 104 + 110*t - \frac{32.15t^{2}}{2}

0 = 104 + t(110 - 16.08t)

We have two solutions:

t₁= -0.84 s

t₂ = 7.68 s

We will take the positive value, thus the time that will take the rocket to hit the ground is 7.68 s.

I hope it helps you!

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