2. 1D Motion / Kinematics

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 same height on Saturn's satellite Enceladus, the rock reaches the ground in $18.6$ s. What is the acceleration due to gravity on Enceladus?

A brick is dropped (zero initial speed) from the roof of a building. The brick strikes the ground in $1.90$ s. You may ignore air resistance, so the brick is in free fall. What is the magnitude of the brick's velocity just before it reaches the ground?

A brick is dropped (zero initial speed) from the roof of a building. The brick strikes the ground in $1.90$ s. You may ignore air resistance, so the brick is in free fall. How tall, in meters, is the building?

A large boulder is ejected vertically upward from a volcano with an initial speed of $40.0$ m/s. Ignore air resistance. What are the magnitude and direction of the acceleration while the boulder is (i) moving upward? (ii) Moving downward? (iii) At the highest point?

A large boulder is ejected vertically upward from a volcano with an initial speed of $40.0$ m/s. Ignore air resistance. When is the velocity of the boulder zero?

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

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

An egg is thrown nearly vertically upward from a point near the cornice of a tall building. The egg just misses the cornice on the way down and passes a point $30.0$ m below its starting point $5.00$ s after it leaves the thrower's hand. Ignore air resistance. What are the magnitude and direction of its acceleration at the highest point?

An egg is thrown nearly vertically upward from a point near the cornice of a tall building. The egg just misses the cornice on the way down and passes a point $30.0$ m below its starting point $5.00$ s after it leaves the thrower's hand. Ignore air resistance. What is the magnitude of its velocity at the highest point?

An egg is thrown nearly vertically upward from a point near the cornice of a tall building. The egg just misses the cornice on the way down and passes a point $30.0$ m below its starting point $5.00$ s after it leaves the thrower's hand. Ignore air resistance. How high does it rise above its starting point?

An egg is thrown nearly vertically upward from a point near the cornice of a tall building. The egg just misses the cornice on the way down and passes a point $30.0$ m below its starting point $5.00$ s after it leaves the thrower's hand. Ignore air resistance. What is the initial speed of the egg?

A $7500$-kg rocket blasts off vertically from the launch pad with a constant upward acceleration of $2.25$ m/s² and feels no appreciable air resistance. When it has reached a height of $525$ m, its engines suddenly fail; the only force acting on it is now gravity. How much time will elapse after engine failure before the rocket comes crashing down to the launch pad, and how fast will it be moving just before it crashes?

A $7500$-kg rocket blasts off vertically from the launch pad with a constant upward acceleration of $2.25$ m/s² and feels no appreciable air resistance. When it has reached a height of $525$ m, its engines suddenly fail; the only force acting on it is now gravity. What is the maximum height this rocket will reach above the launch pad?

A tennis ball on Mars, where the acceleration due to gravity is $0.379g$ and air resistance is negligible, is hit directly upward and returns to the same level $8.5$ s later. How fast was it moving just after it was hit?

A tennis ball on Mars, where the acceleration due to gravity is $0.379g$ and air resistance is negligible, is hit directly upward and returns to the same level $8.5$ s later. How high above its original point did the ball go?