Complete the following prompts and give a written explanation. Suppose that the position function of a spring in motion is given by cos(x²) 3x + 1 where s is measured in centimeters and t is measured in seconds. Assume that t > 0 s(t) A. Find the displacement of the spring during the first 5 seconds. You may round your answer to 4 decimal places. B. Find the average velocity of the spring during the first 5 seconds. You may round your answer to 4 decimal places. C. Find the instantaneous velocity of the spring at t = 5. You may round your answer to 4 decimal places.

Q: A cyclist coasts up a 11.3° slope, traveling 19.0 m along the road to the top of the hill. If the…

A:

Q: Please

A:

Q: A DVD has a radius of approximately 2.5 inches and rotates at 1600 rev/min. Find the linear velocity…

A: We know that v=ωr  where v is the linear speed and ω is the angular speed For a point on the edge of…

Q: A rock dropped from an unknown height, strikes the ground with speed of 98 m/s. Find the height from…

A: The position function of the rock is given by,The gravity is g=9.8 m/s and the initial velocity is…

Q: ff (z + z²y) ds, where S is the part of the cylinder y² + ² = 1 that lies between the planes x = 0…

A: Let S be a smooth surface is of the form z=g(x,y) , then