in order to meausure the acceleration due to gravity on the moon, an astronaut fires a projectile from a launcher. the initial velocity is 57 ft/s at 22.5 degrees and the projectiles range was measured to be 220 ft with equal launch and landing heights. what is the g (in terms of ft/s2) on the moon as calculated by this data?

In a naval battle, a battleship is attempting to fire on a frigate. The battleship is a distance d1 = 2,100 m to the east of the peak of a mountain on an island, as shown in the figure below. The frigate is attempting to evade cannon shells fired from the battleship by hiding on the west side of the island. The initial speed of the shells that the battleship fires is vi = 245 m/s.The peak of the mountain is h = 1,790 above sea level, and the western shore of the island is a horizontal distance d2 = 260 m from the peak. What are the distances (in m), as measured from the western shore of the island, at which the frigate will be safe from fire from the battleship? (Note the figure is not to scale. You may assume that the height and width of the frigate are small compared to d1 and h.)   I have the answer. (as shown in picture but got stuck while reviewing the work. so I would like to see the work for the solution. Thank you!

If you were to drop a large log over the edge of the Grand Canyon and it took 3.21 seconds to hit the ground, calculate the velocity of the log at impact in m/s.

The position of an object in circular motion is modeled by the given parametric equations, where t is measured in seconds. x=7sin((pi/8)t), y=-7cos((pi/8)t) How long (in sec) does it take to complete one revolution?

If an object is shot upward with an initial velocity, v 0, in feet per second (ft/s), the velocity, v, in ft/s is given by the formula v= v0 −32t, where t is time in seconds. Find the initial velocity of an object if the velocity after 2 seconds is 28ft/s.

A swimmer who can consistently keep the same pace to cover 50 meters in 6.8 seconds sets out to swim across a river. The current in the river moves at 3.2 meters per second as the swimmer keeps a constant pace trying to get directly across (at a right angle to the current).  What is the actual speed of the swimmer compared to land? (Your answer should be in meters per second. Remember to calculate a speed first, then add vectors using Pythagorean Theorem)

A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with a speed of 20 ft/s. 90 ft (a) At what rate is his distance from second base decreasing when he is halfway to first base? (Round your answer to one decimal place.) ft/s (b) At what rate is his distance from third base increasing at the same moment? (Round your answer to one decimal place.) ft/s Need Help? Read It

The students in this class performed an experiment to determine the acceleration of a ball due to gravity. Their average results were 9.86 m/s^2. the actual acceleration due to gravity is 9.81 m/s^2. what is the percent error for this experiment?

A rocket is fired upward with a velocity (v) of 590 feet per second. find how many seconds pass before the rocket reaches the ground (s=0) again. use the quadratic equation s=-16t^2+590t.

A ball of 5kg is shot vertically upward with 19.6m/s.  What is the maximum height it can reach (in meter)?