toy rocket is launched from the top of a building 71 feet tall at an initial velocity of 223 feet per second. ​a) Give the function that describes the height of the rocket in terms of time t. ​b) Determine the time at which the rocket reaches its maximum​ height, and the maximum height in feet. ​c) For what time interval will the rocket be more than 716 feet above ground​ level? ​d) After how many seconds will it hit the​ ground?

Hand written solutions are strictly prohibited.

The velocity-versus-time graph for an object moving along an x-axis is shown below. The initial position of the object is xo = -10.0 m. V (m/s) 4- t (s) 4 0. a) Draw a motion diagram of the object. Be sure to label your velocity and acceleration vectors. 0. b) What are the position, velocity, and acceleration of the object at t = 3 s? You must show all %3D of your work to get full credit. c) Sketch the object's position-versus-time graph and acceleration-versus-time graph. 2.

In an experiment, a shearwater (a seabird) was taken from its nest, flown a distance 5120 km away, and released. It found its way back to its nest 12.5 days after release. Part A If we place the origin in the nest and extend the +x-axis to the release point, what was the bird's average velocity for the return flight? Express your answer in meters per second. ANSWER: Vay.-x = m/s Part B What was the bird's average velocity for the whole episode, from leaving the nest to returning? Express your answer in meters per second. ANSWER: Vav. = m/s

A stone is thrown straight up from the edge of a roof, 650650 feet above the ground, at a speed of 1616 feet per second.A. Remembering that the acceleration due to gravity is −32ft/sec2−32ft/sec2, how high is the stone 55 seconds later?B. At what time does the stone hit the ground?C. What is the velocity of the stone when it hits the ground?

At a time t seconds, after it is thrown up in the air, a tomato is at a height (in meters) of f(t)= -4.9t^2+50t+3m A.) What is the average velocity of the tomato during the first 4 seconds? B.) Find (exactly) the instantaneous velocity of the tomato at t =4 C.) What is the acceleration at t =4?  D.) How high does the tomato go? E.)

HOW?An automobile travels on straight road for 39km at 24km/h. If then continues in the same direction for another 39 km at 48km/h.  a. What is the average velocity of the car during his 78 km trip? (Assume that it moves positive direction) b. What is the average speed?

A small rock is thrown vertically upward with a speed of 29.0 m/s from the edge of the roof of a 33.0 m tall building. The rock doesn't hit the building on its way back down and lands in the street below. Ignore air resistance. A) Whats 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

A hyena first notices a lion attacking when the lion is 12.5 m away and moving toward the hyena at a speed of 5 m/s. The hyena begins to accelerate away from the lion at 3m/s and the lion simultaneously begins to accelerate at 2m/s . a. How long in seconds it takes the lion to catch up with the hyena? b. How far in meters has the hyena traveled when the lion catches up with it?

A ball is thrown straight upward from a height of 3.2 m with a velocity of 13.0 m/s. a. What is the maximum height the ball reaches? b. How long does it take the ball to reach the maximum height? c. What is the total time the ball is in the air? d. With what velocity does the ball impact the surface?