Compute your average velocity in the following two cases: (a) You walk 73.2 m at a speed of 1.22 m/s and then run 73.2 m at a speed of 3.05 m/s along a straight track. (b) You walk for 1.00 min at a speed of 1.22 m/s and then run for 1.00 min at 3.05 m/s along a straight track. (c) Graph x versus t for both cases and indicate how the average velocity is found on the graph.

The acceleration of an object (in m/s2) is given by the function a(t)=8sin(t)a(t)=8sin(t). The initial velocity of the object is v(0)=−10v(0)=-10 m/s. Round your answers to four decimal places.a) Find an equation v(t) for the object velocity.v(t)v(t) = −8cos(t)−2Correct  b) Find the object's displacement (in meters) from time 0 to time 3.3.4187Incorrect   metersc) Find the total distance traveled by the object from time 0 to time 3.   meters

A person travels by car from one city to another with different constant speeds between pairs of cities. She drives for 30.0 min at 85.0 km/h, 17.0 min at 90.0 km/h and 55.0 min at 40.0 km/h, and spends 35.0 min eating lunch and buying gas. (a) Determine the average speed for the trip. km/h (b) Determine the distance between the initial and final cities along this route. km

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 soccer ball starts from rest and accelerates with an acceleration of 0.385 m/s2 while moving down a 8.50 m long inclined plane. When it reaches the bottom, the ball rolls up another plane, where, after moving 14.75 m, it comes to rest. (a) What is the speed of the ball at the bottom of the first plane (in m/s)? (Round your answer to at least two decimal places.) m/s (b) How long does it take to roll down the first plane (in s)? (c) What is the magnitude of the acceleration along the second plane (in m/s?)? m/s2 (d) What is the ball's speed 8.20 m along the second plane (in m/s)? m/s (e) What If? You change the angles of the two inclines in such a manner that the new acceleration down the first incline is a, new down = 2a initiel down and up the second incline is a, new un x initial up, What is the ball's speed 8.20 m up the second plane (in m/s)? 2 m/s

A student drops an object out the window of the top floor of a high-rise dormitory. (a) Neglecting air resistance, how fast is the object traveling when it strikes the ground at the end of 3.9 s? First used standard British units and then express the speed in mi/h for a familiar comparison. (ft/s and mi/h) (b) How far, in meters, does the object fall during the 3.9 s? Comment on how many floors the dormitory probably has. (Assume that there are 32 floors/100 m.)

A stone is thrown upward with an initial velocity of 128 ft/s from the roof of a building 320 ft high. Express its height above the ground as a function of time. Find the following:  a) The maximum height that the stone reaches b) The time it takes for the stone to hit the ground c) The velocity and speed of the stone when it hits the ground

A certain freely falling object, released from rest, requires 1.35 s to travel the last 27.0 m before it hits the ground. (a) Find the velocity of the object when it is 27.0 m above the ground. (Indicate the direction with the sign of your answer. Let the positive direction be upward.) Your response differs from the correct answer by more than 10%. Double check your calculations. m/s (b) Find the total distance the object travels during the fall. m

A ball is thrown straight downward with an initial speed of 6.43 from the roof of a building. It hits the ground a time of 1.14s after it is thrown. Ignore air resistance. The height of the building is _m. Express your answer as a positive number.

A startled armadillo leaps upward rising 0.545 m in the first 0.199 s. (a) What is its initial speed as it leaves the ground? (Enter your answer to at least two decimal places.) X m/s (b) What is its speed at the height of 0.545 m? X m/s (c) How much higher does it go? m