An eagle is flying horizontally at a speed of 4.00 m/s when a fish in its talons wiggles loose and falls into the lake 9.00 m below. Calculate the speed of the fish relative to the water when it hits the water. Use a value of 9.80 m/s2 for the acceleration due to gravity.
A daredevil is attempting to jump his motorcycle over a line of buses parked end to end by driving up a ramp at a speed of 50.0 m/s. Each bus is 22.0 m long, and the top of the take-off ramp is at the same height as the top of the buses. Assume that the acceleration due to gravity is 9.8 m/s2 and that air resistance is negligible. How many buses can he clear?
During a fireworks display, a shell is shot into the air with an initial speed of 70.0 m/s at an angle of above the horizontal. The fuse of the shell is timed to detonate it at the instant that it reaches its greatest vertically upward displacement from the ground.
What is the magnitude of the shell’s greatest vertically upward displacement from the ground?
How much time after the shell’s launch does the shell have its greatest vertically upward displacement from the ground?
What is the magnitude of the shell’s horizontal displacement from its launch point at the instant that it detonates?
What is the net displacement of the shell from its launch point at the instant of the shell’s detonation?