A car is traveling back and forth. Its velocity (in feet per second) after t seconds is given by v(t) = 9−3t . Determine the position of the car after four seconds if s(0) = 0 (where s(t) is the position function for the car). a) Find the total distance the car traveled from t = 0 to t = 4

If an average-size man jumps from an airplane with an open parachute, his downward velocity t seconds into the fall is v(t) = 20(10.2) feet per second. (a) Use functional notation to express the velocity 3 seconds into the fall. Calculate it. ft per sec (b) Explain how the velocity increases with time. Include in your explanation the average rate of change from the beginning of the fall to the end of the first second and the average rate of " change from the fourth second to the fifth second of the fall. This answer has not been graded yet. (c)-Find the terminal velocity. ft per sec (d) Compare the time it takes to reach 99% of terminal velocity here with the 25 seconds it took a skydiver with his parachute closed to reach 99% of terminal velocity in Example 2.1. On the basis of the information we have, which would you expect to reach 99% of terminal velocity first, O feather feather or a cannonball? O cannonball Need Help? Read It

A car takes 5.0 s to go from v=0 m/s to v=24 m/s at constant acceleration.  If you wish to find the disance traveled using the equation d=1/2at squared, what value should you use for a? Express your answer to two significant figures and includ the appropraite units.

An object has an initial velocity of 15 m/s. How long must it accelerate at a constant rate of 3 m/s square before it's final velocity is equal to twice it's initial velocity?

The acceleration of an object (in m/s) is given by the function a(t) = 7 sin(t). The initial velocity of the object is v(0) 2 m/s. Round your answers to four decimal places. a) Find an equation v(t) for the object velocity. v(t) = b) Find the object's displacement (in meters) from time 0 to time 3. meters c) Find the total distance traveled by the object from time 0 to time 3. meters

A dolphin swims 2.32 km/h. How far has the dolphin traveled after 4.3h (round your answer to the tenth)?

Justin visits the Grand Canyon and drops a rockoff the edge of a cliff. The rock falls 12 m the firstsecond, 34 m the next second, 56 m the third second,and so on. What would be the total distance the rockfalls after 14 seconds?

A pumpkin is shot straight up with an initial speed of 59 m/s. How long does it take to reach its maximum height, in seconds? Use g= 10 m/s2. Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. (No unit is needed in your answer, it is already given in the question

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.)

The velocity of a particle moving along the x-axis is defined by V= kx3 – 4x2 +6x, where V is in m/sec., x is in meters, and k is a constant. If K=1 Compute the value of the acceleration after x= 2 meters.