A skydiver jumps out of a plane. The height of a skydiver can be modelled by...
Suppose a skydiver jumps out of a plane at 15,000 meters above the ground. It takes him 2.0 seconds to pull the cord to deploy the parachute and another 2.0 seconds for the parachute to be fully deployed. Additionally, in order to land safely on the ground, his parachute must be fully deployed 10.0 seconds before he hits the ground. With this information and assuming there is no additional air resistance or changes in atmospheric density, what is the maximum...
2. A 60 kilogram skydiver (more correctly termed a "skyflopper", as the picture below indicates) jumps from a plane at a height of 1000 meters with an initial velocity of v(0) = 0 meters per second, and falls subject to air resistance whose magnitude is given by 15e, for 25 seconds. At this time his parachute opens and the air resistance is now 180. Assume that the positive direction is downward and the gravitational acceleration constant is g -9.8 m/s,...
Note that the answer is not: - 0 m/s^2 - 7.848 m/s^2 A skydiver jumps off of an airplane. The plane flies at an altitude of 4 km, and at a speed of 100 km/hr. The skydiver "jumps" by simply letting go of the plane and falling out. Gravity is the only thing affecting their motion until they open their parachute at a height of 2.5 km. After opening their parachute, they experience constant acceleration until they land perfectly, with...
11. The height of a projectile is modelled by the function h(t) = -4.912 + 25.5t + 0.5. How long is the projectile above a height of 3m? (4 marks)
John jumps out of an airplane at a height of 10,000 feet and opens his parachute. He quickly reaches a terminal velocity of 53 m/s. When he is 146 m above a hovering supply helicopter (and 500 m above ground), a supply package is dropped. The package is small enough that the air resistance is negligible. Will John reach the package? If not, how close does he come?
The height, h, in metres, above the ground of a rider on a Ferris wheel can be modelled by the equation:h= 10 sin ((pi/15 t) - 7.5) + 12 where t is the time, in seconds.At t=0, the rider is at the lowest point. Determine the first two times that the rider is 20 m above the ground, to the nearest hundredth of a second.
The maximum height of water near a tidal power station in New Brunswick is 6.4 metres at 4:30 am and the minimum height is 3.6 m, 6.2 hours later. What is the depth of the water at 6:45 pm? a) 2.8 m b) 6.8 m c) 5.8 m d) 5.0 m A ferris wheel at an amusement park completes two revolutions every 120 seconds. The cars can reach a maximum of 10 metres above the ground and a minimum of...
A parachutist jumps out of a plane at an altitude of 3000 meters. The parachutist unfolds his parachute when he reaches a height of 800 m. Then the parachute is unfolded, the parachutist will: (a) continue to fall downwards but the speed quickly becomes significantly slower; (b) stop for a moment, and then continue to fall, but slower than before the parachute unfolded; (c) go up for a moment, and then continue to fall, but slower than before the parachute...
P 3 Johnny Utah Base Jumping from Tall Towers 60.00 50.00 40.00 30.00 20.00 10.00 0 5 10 15 20 Time (s)) Johnny Utah is a Base Jumper i.e. he jumps of high things (towers, mountains) falls for a few seconds and then opens his parachute so that he lands safely on the ground. Using the data from one of his jumps given in the graph above, determine a) His acceleration before he opened his parachute. b) His acceleration 6s...
5. A pebble falls from the top of a cliff that is 180 m high. The pebble's height above the ground is modelled by h(t) -5t-5t+180 where h is the height in metres at t seconds since the pebble started to fall. a. Find the average rate of change between 1 s and 4 s. b. Find h(3) c. Find the instantaneous rate of change of height at 3 s. d. Explain the meaning of each value calculated in parts...