1. a student drops a rock from a bridge to the water 12 m below. a) how many seconds does it take the rock to hit the water? b) how fast is the rock moving when it hits the water?
2. a weather balloon is floating at a certain height above the earth when it releases a heavy pack of instruments. a) if the pack hits the ground with a speed of 73 m/s, how far up is the balloon? b) how long does it take the instrument pack to reach the ground?
3. an engineer must design a runway that allows planes to reach a ground speed of 61 m/s before they can take off. if the planes accelerate at 2.4 m/s2 , what must be the minimum length of the runway?
4. a rock is thrown straight down, not dropped, from the roof of a building that is 61 m above the ground. if it takes 3.1 s to reach the ground, with what speed was it thrown? © 2004, gpb 3-21
5. a baseball is hit straight up into the air with a speed of 33 m/s. a) how high does it go? b) how long is it in the air?
6. an astronaut drops a feather from 1.25 m above the surface of the moon. the acceleration due to gravity on the moon is 1.62 m/s2 . a) how long does it take the feather to hit the ground? b) how long would it take a hammer to fall the same distance?
7. a tennis ball is dropped 1.2 m above the ground. with what velocity does it hit the ground (before the ground stops it)?

Complete the worksheet. use 3.14 for π and round all decimals to the nearest hundredth.find the volume of the composite three-dimensional figure above. important terms are written in bold.1. the pyramid has a square base that is inscribed in the circular base of the cone. draw an image of the composite shape of the base. 2. if the side length of the square base is 8 units long, what is the diameter of the circular base of the cone from the picture in number 1? 3. now that the diameter has been calculated, what is the circular area of the cone? ignore the square base of the pyramid.? 4. what is the formula for volume of a cone? 5.to calculate the volume of the cone, the height is still needed. if the cone has a lateral surface with a length of 13 units, what is the height of the cone? 6.now find the volume of the cone. do not include the empty space for the pyramid. 7.. the side length of the square base of the pyramid is 8 units long. what is the base area of the pyramid? 8.what is the formula for the volume of a pyramid9. since the cone and the pyramid share the same vertex, what is the volume of the pyramid10.using the volume of the cone and the pyramid, find the volume of the composite shape. remember, the pyramid is empty. 11,. referring to the picture in number 1, what is the area of the composite base knowing that the square is empty? 12what is the formula to find the lateral surface area of a cone? (13find the lateral surface area of the cone14what is the lateral surface area shape of the pyramid? what is the formula for its area? 15to find the lateral surface area of the pyramid the length is still needed. calculate the lateral surface length of the pyramid. 16 now that the lateral surface length is known, what is the lateral surface area of the pyramid17. using the lateral surface areas of the cone and pyramid, along with the area of the composite base, what is the total surface area?