A 200 kg weather rocket is loaded with 100 kg of fuel and fired straight up. It accelerates upward at 30.0 m/s^2 for 30.0 s, then runs out of fuel. Ignore any air resistance effects. a. What is the rocket's maximum altitude? b. How long is the rocket in the air? c. Draw a velocity vs. time graph for the rocket from lift off until it hits the ground.

1. Consider the following v-t graph. a. At what time(s) is the object moving fastest? What is its speed at that time(s)? b. c. Draw a matching d-t graph. d. How far did the object move during the first 5 seconds? e. How far did the object move during the first 10 seconds? √(5) O 0 IT N + 6 4 1 T 00 O IN 2 IT -lot *LD O • [] 4 20 t(o)

A van covers 38.5 m in 7.67 s while uniformly slowing down to a final speed of 2.43 m/s. a. What is the van's initial speed? b. What is its acceleration

A certain hawk can fly horizontally (i.e., not diving) at a maximum speed of 80.0 km/hr The hawk can decelerate at a much higher rate of 2.75 m/s2 . a. If initially flying at its top speed, how much time does it take for the hawk to come to a stop? b. How far does it travel during this time? c. If the hawk has a mass of 1.1 kg, what is the average force that must be applied by its wings in order to come to a stop?

A swimmer bounces almost straight up from a diving board and falls vertically feet first into a pool. She starts with a speed of 3.4 m/s and her takeoff point is 1.9 m above the pool's surface. a. For how long are her feet in the air , in seconds? here is my ans. 0.34? b. What is the height above the board, in meters, of her highest point? c. What is her velocity , in meters per second, when her feet hit the water? assume the vertical component is positive upwards.

1. A ball is thrown upward from the top of a 50 meter high building with an initial speed of 25 m/s.a. How much time does it take to reach the ground?b. What velocity does it have when it reaches the ground?

5. A small rock is thrown vertically upward with a speed of 12.0 from the edge of the roof of a 25.0 m tall building. The rock doesn't hit the building on its way back down and lands on the street below. Ignore air resistance. a. What is the speed of the rock just before it hits the street? b. How much time elapses from when the rock is thrown until it hits the street? c. Find the maximum height above the ground that the rock reaches. d. At what time after being released has the rock fallen 8.0 m below the roof edge? e. What is the ball's acceleration when it is 8.0 m below the roof edge? vy=25.18 m/s a. b. t = 3.79 s c. y 32.35 m d. t = 2.99 s e. ay = -9.8 m/s²

3. A jet plane has a takeoff speed of Vtakeoff = 60 m/s and can move along the runway at an average acceleration of 2.0 m/s². The runway is 1.5 km. a. Write out the 3 Kinetic equations. 2. v2-U2= Jas 3.5=uttata2 b. Write out the values of initial position, initial velocity, and acceleration. initial position uloity- a: 0.2m/s init.al aueleradion- How many seconds will it take for the plane to reach takeoff speed? С. d. How far will the plane have to travel to get to takeoff speed? e. will the plane be able to get to 60 m/s before it gets to the end of the runway?

you and your best friend are away on vacation. Your hotel room is on the 5th floor. you and your friends decide to practice your aiming skills by dropping water balloons from the balcony of your hotel room. You drop a balloon from the ledge and it accelerates uniformly to the ground. a. If the balcony is 25m above the ground, how long does it take the balloon to reach the ground? b. What is the final velocity of the balloon just before it hits the ground? c. Draw a representative position vs time graph for the motion described above and describe the motion.

A car is traveling due East at a rate of 36.2 kph and a train is due North at a speed of 74.70 kph and bound to meet at an intersection 1 km for the train and the car. a. Determine the acceleration of the car, If the car reaches the intersection 10 seconds ahead of the train. b. Determine the velocity of the car at the intersection.