A father demonstrates projectile motion to his children by placing a pea on his fork's handle and rapidly depressing the curved tines, launching the pea to heights above the dining room table. Suppose the pea is launched at 7.39 m/s at an angle of 85.0° above the table. With what speed (in m/s) does the pea strike the ceiling 1.90 mabove the table?

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?

1. Vivian is practicing her shooting accuracy with her slingshot by trying to shoot rubber balls into a bucket on the ground. For one particular shot for which the ball lands in the bucket, she fired her slingshot horizontally with an initial speed of 56.0 m/s at a height of 170 cm above the ground. (a) How far away is Vivian standing from the bucket? (b) What are the magnitude and direction of the ball's velocity when it lands in the bucket? Note: Please be mindful of significant figures. Also, you can assume that when the balls land in the bucket, they are on the ground.

Jse the worked example above to help you solve this problem. An Alaskan rescue plane drops a package of emergency rations to stranded hikers, as shown in the figure. The plane is traveling horizontally at 45.0 m/s at a height of 1.40 x 104 m above the ground. (a) Where does the package strike the ground relative to the point at which it was released? 241 (b) What are the horizontal and vertical components of the velocity of the package just before it hits the ground? horizontal 45 m/s 52.3832 vertical The response you submitted has the wrong sign. m/s (c) Find the angle of the impact. 49 The response you submitted has the wrong sign.°

Cuban tree frogs are skilled jumpers. They can launch themselves at 4.5 meters per second at an angle of 26o above horizontal. Assuming the frog is jumping on level ground, what is the maximum height above the ground that the frog will achieve?   0.95 m   1.2 m   0.20 m   0.61 m

AlpQLSedOPxDLVWCE4srhjam4NjXYApU7IkAnM1LjGKTm-yzjRKJohg/formResponse A plane, diving with constant speed at an angle of 30° with the horizontal, releases a projectile at an altitude of 730 m. The projectile hits the ground 5.00 s after release. What is the speed of the plane? 354 m/s O 365 m/s 132m/s O 243 m/s O 476 m/s REDMI NOTE 9 AI QUAD CAMERA Menmeraha Ali are two football players. AS Ali passes the ball to Mehmet. The velocity of the ballt

You are attacking your enemy’s castle and prepare your catapult to launch a large stone at the castle wall. Asyour clan’s engineer, it is up to you to calculate the correct distance from the wall to fire your catapult. Youknow that the projectile will be launched from the catapult 8.2 m above the ground at a velocity of 40 m/s atan angle of 46◦ above the horizontal, and you want to hit the castle wall 3.0 m above the ground, where theprojectile will do the most damage. How far from the wall should your catapult be positioned?

A mountain bike encounters a jump on a race course that sends him into the air at 44.8 degrees to horizontal. He lands at horizontal distance of 26.7 m and 13.1 m below his launch point.   What would the launch speed be in m/s?

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

clocity OIT mpact 0OILIT LTC gi 4. A friend tosses a baseball out of his second-floor window with an initial velocity of 4.3 m/s [42° below the horizontal]. The ball starts from a height of 3.9 m, and you catch the ball 1.4 m above the ground. KU TI (a) Calculate the time the ball is in the air. [ans: 0.48 s] (b) Determine your horizontal distance from the window. [ans: 1.5 m] (c) Calculate the speed of the ball as you catch it. [ans: 8.2 m/s] Chapter 1 • Kinematics