Owen is jumping on a trampoline. When his feet hit the deck of the trampoline, the material depresses to a minimum height of 2cm above the ground. On average, Owen is reaching a maximum height of 200cm every 10 seconds. Determine the equation of a sinusoidal function that would model this situation, assuming Owen reaches his first maximum at 6 seconds.

An object is dropped from 260 ft. above the surface of the moon with an initial velocity of 0 ft/sec. On the moon, the acceleration due to gravity is 5.2 ft/sec², so d²s = -5.2 ft/sec². dt²

Janiah is a softball player who plays second base (position 4). She can throw a softball in a perfect parabolic arc to throw out a runner trying to steal home plate (position 2), which is 70 feet. Assume that Janiah lets go of the ball 5 feet above the ground and the catcher (position 2) catches it 5 feet above the ground. The ball reaches a maximum height of 20 feet above the ground halfway to the catcher. What is an equation of the path of the softball? Show work and explain the reasoning. identify the correct vertex, get the correct value for a and the correct equation, clear and correct explanations of the calculations

A lighthouse lies 200 metres from a straight shore. The light rotates at a rate of 2 revolutions per minute. A piling marks the spot on the beach nearest the lighthouse. Find the speed at which the light beam is moving along the shore at a point 200 metres from the piling.

The 550 ft tall wheel has a diameter of 5290 ft. a rde on its one of its 28 passenger cars last 30 minutes, the time it takes the wheel to complete the full rotation. Riders board the passenger cars at the bottom of the wheel. Assume that once the wheel is in the motion it maintains the constant speed for 30 minutes ride and its rotating in a counterclockwise direction. If you were on this ride how high would you be above the ground after 20 minutes?

A racecar travels on the flat road and its motion is monitored. i) If the car is accelerating at 9 m/s² and the initial velocity of the car is 5 m/s, what is the equation for the velocity of the car? b) ii) iii) Find the distance travelled by the car as a function of time? Calculate the distance travelled by the car for the first 30 seconds.

A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along a straight path. How fast is the tip of his shadow moving when he is 30 ft from the pole? 16/3 X ft/s Enhanced Feedback Please try again. Draw a diagram for this problem. Draw a right triangle with horizontal and vertical edges. Let the vertical edge be the pole. Draw another vertical line with one end on the hypotenuse: and the other end on the horizontal edge depicting the man. Label the distance between the man and the pole x and the distance between the man and the tip of the shadow y. Use properties of similar triangles to find a relation among x, y, the height of the man, and the height of the pole. Differentiate this equation with respect to time, t, using the Chain Rule, to find the equation for the rate at which the tip of the shadow is moving, (x + y). Then, use the values from the exercise to evaluate the rate of change of the distance between the…

A rectangular beam is to be cut from a cylindrical log of diameter 20cm. Express the cross sectional area of the beam as a function of the angle.