A ball is thrown directly upward from a height of 4 ft with an initial velocity of 24 ft/sec. The function s(t) = - 16t2 + 24t + 4 gives the height of the ball, in feet, t seconds after it has b Determine the time at which the ball reaches its maximum height and find the maximum height. The ball reaches its maximum height of ft sec(s) after the ball is thrown. (Type integers or decimals.)

The vertical displacement (in m) of a plane is  1.5 t2 up; t is the time (in s) after takeoff. The plane releases a package 2.0 s after takeoff. What is the magnitude of the velocity (in m/s) when the packaged is released? Report your answer in the appropriate number of significant digits. Answer value

An Australian magpie (Gymnorhina tibicen) flies 53 m south and then 47 m west, in a total time of 35 minutes. What is its displacement from the starting position? Enter only the numerical part of your answer (in m) to the nearest integer.

Chapter 02, Problem 10 In reaching her destination, a backpacker walks with an average velocity of 1.26 m/s, due west. This average velocity results, because she hikes for 6.62 km with an average velocity of 2.54 m/s due west, turns around, and hikes with an average velocity of 0.381 m/s due east. How far east did she walk (in kilometers)? dw VE West East dɛ Number Units the tolerance is +/-2% Click if you would like to Show Work for this question: Open Show Work

A particle moves so that its position (in meters) as a function of time (in seconds) is r = î + 2t² j+ 2tk. (Use the following as necessary: t.) (a) Write an expression for its velocity as a function of time. v(t) = m/s (b) Write an expression for its acceleration as a function of time. d(t) = m/s2 Submit Answer

An article explains that the locomotion of different-sized animals can be compared when they have the same Froude number, defined as F = gl velocity, g is the acceleration due to gravity (9.81 m/sec2) and I is the animal's leg length. (a) Different animals change from a trot to a gallop at the same Froude number, roughly 2.56. Find the velocity at which this change occurs for an animal with a leg length of 1.12 m. (b) Ancient footprints of a dinosaur are roughly 1.4 m in diameter, corresponding to a leg length of roughly 5.6 m. By comparing the stride divided by the leg length with that of various modern creatures, it can be determined that the Froude number for this dinosaur is roughly 0.025. How fast was the dinosaur traveling? (a) The velocity at which this animal changes change from a trot to a gallop is (Round to the nearest tenth as needed.) where v is the animal's (...) m/sec.

A car accelerates at a constant rate from rest to 16 m/s in a distance of 74 m. What is the magnitude of its acceleration, in m/s2? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.

Cheetahs can accelerate to a speed of 20.0m/s in 2.50 s and can continue to accelerate to reach a top speed of 27.8 m/s. Assume the acceleration is constant until the top speed is reached and is zero thereafter. Let the +x-direction point in the direction the cheetah runs.  Express the cheetah's top speed vtop in miles per hour (mi/h). Vtop= ______________ mi/h Starting from a crouched position, how much time taccel does it take a cheetah to reach its top speed, what distance d does it travel in that time?  taccel = ____________ s d=_____________ m If a cheetah sees a rabbit 129.0 m away, how much time ttotal will it take to reach the rabbit, assuming the rabbit does not move and the cheetah starts from rest?  ttotal = _________ s

The speed of an object as a function of time is given by the following equation: What is the magnitude of the object's acceleration (in m/s2) at t = 5 s? X 32

NASA has fired a rocket straight up into the air from ground level with an unknown initial velocity. It reaches a maximum height of 164,000 feet. This happened in Cape Canaveral therefore the rocket is under the acceleration of Earth's gavity in which we all know is -32 ft/sec/sec.                                           Please round your answers to two decimal places. a). Find the time it takes for the rocket to reach maximum height. b). find the initial velocity necessary to reach that height.