12 a)  A boy kicks a rock off a cliff with a speed of 18.3 m/s at an angle of 57.8° above the horizontal. The rock hits the ground 5.34 s after it was kicked. How high is the cliff?b) What is the speed of the rock right before it hits the ground?c) What is the maximum height of the rock in the air, measured from the top of the cliff?please answer b) thank you!

A boy tossed the basketball at an angle of 38-degrees from the horizontal. The basketball is 1.6 m above the ground at the time of release and the basketball hoop is 6.4 m away and 3.6 m high. Neglecting the size of the ball in the calculation, determine the speed which the ball pass through the hoop. Answer in two decimal places. Numerical values only. Don't indicate units here, just on the submitted solution.

In a circus, a “human cannonball” is launched from a cannon and lands in a net. The cannon releases him at the same height as the net. His initial velocity is 18.3 m/s in a direction 40.0° above the horizontal. a) For how much time will he be in the air? b) How far does he travel horizontally? c) What is the velocity upon impact? The circus manager from the previous question wants to make the stunt more dramatic by firing the stuntman through a hoop 9.0 m high then land in a safety net at the same height as the cannon. The cannon’s angle is changed to 45.0° and the velocity is increased to 
 21.0 m/s. The manager needs to know where to place the hoop and safety net. a) How far from the cannon should the safety net be placed? b) What is the time required to reach the height of the hoop? c) How far from the cannon should the hoop be placed?

A physics book slides off a  horizontal tabletop with a speed of 5 cm/s. It strikes the floor in 0.250 s. Ignore air resistance. Find, a.) the height of tabletop above the floor. b.) the horizontal distance from the edge of the table to the point where the book strikes the floor. c.) the horizontal and vertical components of the book's velocity, and the magnitude and direction of its velocity, just before the book reaches the floor.

A crazy person jumped off a 100-meter cliff because of climate change. He is launched up in the air at a velocity of 20m/s in a direction making an angle of 250 upward with the horizontal. a.) What is the maximum height reached by the crazy person? b.) What is the total time flight (between launch and touching the ground) of the crazy person? c.) What is the horizontal range of the crazy person? d.) What is the magnitude of the velocity of the crazy person just before it hits the ground?

A prankster flips a coin off of the Empire Building at a height of 1054 feet above the ground. The initial vertical velocity of the coin is 1.20m/s. In real life, air resistance would limit the maximum speed the coin can attain during its fall, but if air resistance were not a factor and assuming it has practically no horizontal motion, answer the following questions. (1 foot = 0.3048m) a. What would the coin's velocity be when it hits the ground? b. How long would it take to hit? c. How high would the coin be halfway through the total falling time, and how fast would it be falling then?

6. After discovering that two hikers have been stranded on Devil's Thumb Pass, the Colorado Search and Rescue team sends out a plane with supplies for the hikers. Because the hikers are in an isolated location, the plane has to drop the supplies as it flies overhead (see Figure 1). If the plane is 235 m above the hikers and has a horizontal speed of 200 km/h, how far away from the hikers should the supplies be dropped if they are to land at the hikers' location? Vx0 "Dropped" (Vyo = 0) 235 m o Peon Edetion Figure 1

An airplane diving at an angle of 36.9° with the horizontal drops a bag of sand from an altitude of 800 m. The bag is observed to strike the ground 5 s after its release. a) What is the speed of the plane?

A ball is thrown horizontally from the top of a building 22m high.the ball strikes the ground at a point 35 m horizontally away from and below the point of release.Air resistant is neglected from this problem.e.what is the speed of the ball just before it strikes the ground?