(a) A stone is thrown upward with a certain speed on a planet where the free-fall acceleration is double that on Earth. How high does it rise compared to the height it rises on Earth? (b) If the initial speed were doubled, what change would that make?

On another planet, the value of $\mathrm{g}$ is one-half the value on Earth. How is the time needed for an object to fall to the ground from rest on that planet related to the time required to fall the same distance on Earth?

A woman fell $144$ ft from the top of a building, landing on the top of a metal ventilator box, which she crushed to a depth of $18$ in. She survived without serious injury. What acceleration (assumed uniform) did she experience during the collision? Express your answer in terms of $\mathrm{g}$.

What is the downward acceleration of a projectile that is re- leased from a missile accelerating upward at $9.8$ m/s$^2?$

The Zero Gravity Research Facility at the NASA Lewis Re- search Center includes a 145-m drop tower. This is an evacu- ated vertical tower through which, among other possibilities, a $1$-m-diameter sphere containing an experimental package can be dropped. $(a)$ For how long is the experimental package in free fall? $(b)$ What is its speed at the bottom of the tower? $(c)$ At the bottom of the tower, the sphere experiences an aver- age acceleration of 25$\mathrm{g}$ as its speed is reduced to zero. Through what distance does it travel in coming to rest?

A person standing on the edge of a cliff at some height above the ground throws one ball straight up with initial speed $v_0$ and then throws another ball straight down with the same ini- tial speed. Which ball, if either, has the larger speed when it hits the ground? Neglect air resistance.

New York Yankees pitcher Roger Clemens threw a fastball at a horizontal speed of $160$ km/h, as verified by a radar gun. How long did it take for the ball to reach home plate, which is $18.4$ m away?

A stone is thrown vertically upward. On its way up it passes point A with speed v, and point B, 3.00 m higher than A, with speed 1/2v. Calculate the maximum height reached by the stone above point B.

A stone is thrown vertically upward. On its way up it passes point A with speed v, and point B, 3.00 m higher than A, with speed ½ν Calculate (a) the speed ν and (b) the maximum height reached by the stone above point B.

How far does your car, moving at $70$ mi/h ($=$ $112$ km/h) travel forward during the $1$ s of time that you take to look at an accident on the side of the road?

On April $15$ an airplane takes off at $4:40$ P.M. from Belém, Brazil bound for Villamil, Ecuador (in the Galapagos). The plane lands at $8:40$ P.M. Villamil local time. The sun sets at $6:15$ P.M. in Belém (local time), and $7:06$ P.M. in Villamil (local time). At what time during the flight do the airplane passengers see the sun set?

What are some examples of falling objects for which it would be unreasonable to neglect air resistance?

A rocket is fired vertically and ascends with a constant verti- cal acceleration of $20$ m/s$^2$ for $1.0$ min. Its fuel is then all used and it continues as a free-fall particle. $(a)$ What is the maxi- mum altitude reached? $(b)$ What is the total time elapsed from takeoff until the rocket strikes the Earth? (Ignore the variation of g with altitude).

A plane flies round-trip between Los Angeles and Namulevu, Vanuavinaka. The plane takes off at $12:50$ P.M. Los Angeles time and lands at $6:50$ P.M. Namulevu time. On the return trip it takes off at $1:50$ A.M. Namulevu time and lands at $6:50$ P.M. Los Angeles time. Assume that the flight time is the same in both directions and that the plane flies in a straight line at an average speed of $520$ mi/hr. $(a)$ What length of time is the flight (one way, as measured by the passengers)$?$ $(b)$ What is the time difference between Namulevu and Los Angeles? $(c)$ Approximately where on the globe is Namulevu located?