2. 1D Motion / Kinematics

Vertical Motion and Free Fall

Free Fall: Initial Velocity Effects

A toy rocket starts on the ground at rest. Its engine burns for <math display="inline"><mrow><mn>3.0</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">s</mi></mrow></math> giving it a constant acceleration of <math display="inline"><msup><mrow><mn>4.0</mn><mo rspace="thickmathspace">&#x2062;</mo><mrow><mi mathvariant="normal" class="MathML-Unit">m</mi><mo>/</mo><mi mathvariant="normal" class="MathML-Unit">s</mi></mrow></mrow><mn>2</mn></msup></math>. What is the maximum height achieved by the rocket?

Free Fall: Concepts

A steel ball is dropped onto a thick piece of foam. The ball is released 2.5 meters above the foam. The foam compresses <math display="inline"><mrow><mn>3.0</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">cm</mi></mrow></math> as the ball comes to rest. What is the magnitude of the ball's acceleration as it comes to rest on the foam? Ignore air resistance.

Anderson Video - Free Fall and Gravity

Physics, Kinematics, Free Fall - Final Velocity at Bottom

Physics, Kinematics, Free Fall - Solving for Final Velocity, No.1

Physics, Kinematics, Free Fall - Solving for Final Velocity, No. 2

(a) v0y=37.5 m/s (b) vy=22.8 m/s

(a) v0y=16.7 m/s (b) vy=2 m/s

(a) v0y=2 m/s (b) vy=0 m/s

A 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) vy = 36.6 m/s downward; (b) t = 3.88 s

(a) vy = 11.0 m/s downward; (b) t = 3.88 s

(a) vy = 37.0 m/s downward; (b) t = 34.2 s

(a) vy = 36.6 m/s downward; (b) t = 6.49 s

A 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 large boulder is ejected vertically upward from a volcano with an initial speed of 40.0 m/s. Ignore air resistance. (a) At what time after being ejected is the boulder moving at 20.0 m/s upward? 

A large boulder is ejected vertically upward from a volcano with an initial speed of 40.0 m/s. Ignore air resistance. (b) At what time is it moving at 20.0 m/s downward? 

Physics, Kinematics, Free Fall - Height Reached from Known Initial Velocity

Physics, Kinematics, Free Fall -  Solving for Time to Fall from Known Height

A large boulder is ejected vertically upward from a volcano with an initial speed of 40.0 m/s. Ignore air resistance. (c) When is the displacement of the boulder from its initial position zero? 

A steel ball is dropped onto a thick piece of foam. The ball is released 2.0 meters above the foam. The foam compresses <math display="inline"><mrow><mn>3.0</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">cm</mi></mrow></math> as the ball comes to rest. How fast is the ball moving when it first hits the foam? Ignore air resistance.

Anderson Video - Time for Dropped Object to Hit Ground

How Long Are You in the Air During a Dunk? | Physics with Professor Matt Anderson | M2-08

Vertical Motion & Free Fall

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