55. A home run is hit in such a way that the baseball just clears a wall 21 m high, located 130 m from home plate. The ball is hit at an angle of 35° to the horizontal, and air resistance is negligible. Find (a) the initial speed of the ball, (b) the time it takes the ball to reach the wall, and (c) the velocity components and the speed of the ball when it reaches the wall. (As- sume that the ball is hit at a height of 1.0 m above the ground.)

You are really angry at your family, and in your frustration you decide you are going tothrow the pizza you bought for dinner onto the roof of your house. You are 6 metersfrom the house and the roof of the house is 3 meters above the ground. Assuming youtoss the pizza from ground level with an initial speed of 10 m/s at an angle of 60° (abovethe horizontal), how far onto the roof does the pizza land? Assume the roof is flat. Giveyour answer to 2 significant figures

In a friendly game of handball, you hit the ball at ground level and send it towards the wall with a speed of 18 m/s at an angle of 40o above the horizontal. (a) If the wall is 3.8 m away how high is the ball when it hits the wall? (b) What are the x and y velocity components just before it strikes the wall? (c) What is the magnitude and direction at this time?

A lizard kicks a ball with an initial velocity of 10 m/s at an angle of 35º with the horizontal. What is the maximum height of the ball?

During a fireworks display, a firework is shot into the air with an initial speed of 40.0 m/s at an angle of 55.0º above the horizontal. The firework is timed to ignite as it reaches its highest point above the ground. (a) Calculate the height at which the firework explodes. (b) How much time passed between the launch of the shell and the explosion? (c) What is the velocity of the firework after 1s it shot into the air?

A poodle is chasing after a frisbee at the park. The frisbeeis maintaining a height of h = 0.95 m as it passes throughthe air. The poodle leaps into the air, from level groundand with initial speed vi at an angle of θ = 52° above thehorizontal. She catches the frisbee in midair 0.40 s afterjumping. (She has not yet reached the peak of her trajec-tory when she catches the frisbee.) How much horizontaldistance ∆x does she cover between jumping and catchingthe frisbee? For the representation, draw the trajectoriesof the dog and the frisbee, making sure to label all relevantinformation. (Note: feel free include the quantity vi whenstarting out your equation work. But you should find thatyou don’t need to know the value of vi in order to solvethis problem, which is why a value hasn’t been providedfor you.)

In frustration, Jimmy Alapag threw the ball with a velocity of 20.0 m/s at an angle of 45° above thehorizontal. What was the maximum range that the ball reached?

With an initial velocity of 14m/s, and basketball is shot from an initial height of 2.4 m and initial angle of 38 degrees.thw basket is 3.658 m above ground. If the ball is thrown to the basket under these conditions. a) how far is the basket from the player? b) At what angle did the ball enter the basket?

2/67 In a basketball game, the point guard A intends to throw a pass to the shooting guard B, who is break- ing toward the basket at a constant speed of 3.6 m/s. If the shooting guard is to catch the ball at a height of 2.1 m at C while in full stride to execute a layup, determine the speed vo and launch angle 0 with which the point guard should throw the ball. UO A /0 3.6 m/s 1.5 m B 2.1 m 12 m 6 m- Answers: Vo = 13.77 m/s, 0 = 38.36° %3D

During your summer internship for an aerospace company, youare asked to design a small research rocket. The rocket is to be launchedfrom rest from the earth’s surface and is to reach a maximum height of960 m above the earth’s surface. The rocket’s engines give the rocket anupward acceleration of 16.0 m/s2 during the time T that they fire. After theengines shut off, the rocket is in free fall. Ignore air resistance. What mustbe the value of T in order for the rocket to reach the required altitude?