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Juliette [100K]
3 years ago
13

After a gas-filled balloon is released, it rises 90 feet by the end of the first minute. By the end of the second minute, the ba

lloon rises 120 feet, and by the end of the third minute, it rises 150 feet. How many feet would the balloon rise in 8 minutes?
a.
300
c.
390
b.
330
d.
660
Mathematics
1 answer:
hichkok12 [17]3 years ago
7 0

Answer:

Its B :)

Step-by-step explanation:

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The ball shall keep rising tills its velocity becomes zero. Let it rise to a height h feet from point of projection.

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Let us take the point of projection of the ball as origin of the coordinate system, the upward direction as positive and down direction as negative.

Initial velocity u with which the ball is projected upwards = + 120 ft/s

Uniform acceleration a acting on the ball is to acceleration due to gravity = - 32 ft/s²

The ball shall keep rising tills its velocity becomes zero. Let it rise to a height h feet from point of projection.

Using the formula:

v² - u² = 2 a h,

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0² - 120² = 2 × (- 32) h

=> h = 120²/2 × 32 = 225 feet

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