Question

Maria throws an apple vertically upward from a height of 1.3 m with an initial velocity of +2.9 m/s. Will the apple reach a friend in a tree house 7.0 m above the ground? The acceleration due to gravity is 9.81 m/s2.

1. No, the apple will reach 5.27136 m below the tree house

2. Yes, the apple will reach 5.27136 m above the tree house

3. No, the apple will reach 1.43117 m below the tree house

4. No, the apple will reach 1.5289 m below

5. Yes, the apple will reach 1.5289 m above the tree house

6. Yes, the apple will reach 1.43117 m above the tree house

If the apple is not caught, how long will it be in the air before it hits the ground; i.e., the total time from when the apple leaves the hand until it hits the ground? Answer in units of s.

Answer 1

Given initial vertical velocity,

Find max height

Use formula

At max height, vertical velocity becomes zero

Max height from ground = 1.3m + h = 1.3m+ 0.42864m

Distance = 7m - H =7m-1.72864m

ANSWER: No, Apple will reach 5.27136m below the tree house.

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Time of flight

Consider rising part

Use formula

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Consider Falling part

Use formula

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Time of Flight,

ANSWER :

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