2. 1D Motion / Kinematics

Vertical Motion and Free Fall

2. 1D Motion / Kinematics

# Vertical Motion and Free Fall - Video Tutorials & Practice Problems

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## Vertical Motion & Free Fall

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Problem

ProblemA rock is thrown vertically upward with a speed of 27.0 m/s from the roof of a 31.0-m-tall building. The rock doesn't hit the building on its way back down and lands in the street below. **(a)** What is the speed of the rock just before it hits the street? **(b)** How much time elapses from when the rock is thrown until it hits the street?

A

(a) vy = 36.6 m/s downward;

(b) t = 3.88 s

(b) t = 3.88 s

B

(a) vy = 11.0 m/s downward;

(b) t = 3.88 s

(b) t = 3.88 s

C

(a) vy = 37.0 m/s downward;

(b) t = 34.2 s

(b) t = 34.2 s

D

(a) vy = 36.6 m/s downward;

(b) t = 6.49 s

(b) t = 6.49 s

3

Problem

ProblemA student throws a set of keys vertically upward to her sorority sister who is in a window 14.00 m above. The second student catches the keys 1.50 s later. **(a)** With what initial velocity were the keys thrown? **(b)** What was the velocity of the keys just before they were caught?

A

(a) v

(b) v

_{0y}=37.5 m/s(b) v

_{y}=22.8 m/sB

(a) v

(b) v

_{0y}=16.7 m/s(b) v

_{y}=2 m/sC

(a) v

(b) v

_{0y}=2 m/s(b) v

_{y}=0 m/s## Do you want more practice?

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PRACTICE PROBLEMS AND ACTIVITIES (63)

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- Ball bearings are made by letting spherical drops of molten metal fall inside a tall tower—called a shot tower...
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- A small rock is thrown vertically upward with a speed of 22.0 m/s from the edge of the roof of a 30.0-m-tall b...
- A 15-kg rock is dropped from rest on the earth and reaches the ground in 1.75 s. When it is dropped from the s...
- A brick is dropped (zero initial speed) from the roof of a building. The brick strikes the ground in 1.90 s. Y...
- A brick is dropped (zero initial speed) from the roof of a building. The brick strikes the ground in 1.90 s. Y...
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- A large boulder is ejected vertically upward from a volcano with an initial speed of 40.0 m/s. Ignore air resi...
- A large boulder is ejected vertically upward from a volcano with an initial speed of 40.0 m/s. Ignore air resi...
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- An egg is thrown nearly vertically upward from a point near the cornice of a tall building. The egg just misse...
- An egg is thrown nearly vertically upward from a point near the cornice of a tall building. The egg just misse...
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- A 7500-kg rocket blasts off vertically from the launch pad with a constant upward acceleration of 2.25 m/s2 an...
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- A tennis ball on Mars, where the acceleration due to gravity is 0.379g and air resistance is negligible, is hi...
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- (a) If a flea can jump straight up to a height of 0.440 m, what is its initial speed as it leaves the ground?
- You throw a small rock straight up from the edge of a highway bridge that crosses a river. The rock passes you...
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- (I) A stone is dropped from the top of a cliff. It is seen to hit the ground below after 3.25 s. How high is t...
- (I) If a car rolls gently (v₀ = 0) off a vertical cliff, how long does it take it to reach 55 km/h?
- (II) Figure 2–42 shows the velocity of a train as a function of time.(c) During what periods, if any, was the ...
- (II) A baseball is hit almost straight up into the air with a speed of 22 m/s. Estimate(a) how high it goes, a...
- (II) The best rebounders in basketball have a vertical leap (that is, the vertical movement of a fixed point o...
- (II) A baseball is seen to pass upward by a window with a vertical speed of 13 m/s. If the ball was thrown by ...
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- (II) Pelicans tuck their wings and free-fall straight down when diving for fish. Suppose a pelican starts its ...
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