Mayan kings and many school sports teams draw inspiration fr…

Mayan kings and many school sports teams draw inspiration from the puma, cougar, or mountain lion —Felis concolor— renowned as the best jumper among animals. A puma can jump to a height of 3.66 m when launching at an angle of 45.0°. What is its takeoff speed, expressed in meters per second, to achieve this jump? Show your work and answer in the scratch paper.

A catapult launches a test rocket vertically upward from gro…

A catapult launches a test rocket vertically upward from ground level with an initial speed of 80.0 m/s. The rocket’s engines fire at the same time as the launch, causing it to experience a constant upward acceleration of 4.00 m/s² until it reaches an altitude of 1000 m. After the engines fail at that point, the rocket enters free fall, accelerating downward at 9.80 m/s². (a) What is the total time the rocket spends in motion above the ground? (10 points) (b) What is the height of the rocket 1.0 s after it is launched? (5 points) (c) What is the rocket’s velocity just before it hits the ground? (10 points) (Hint: You will need to treat the motion while the engine is firing and the free-fall motion separately.) Show your work and answer in the scratch paper.