A particle travels clockwise around a circular path as shown below. The speed of the particle is given as a function of time, v(t) = (3 + t) m⁄sec where time is measured in seconds. The radius of the circle is 1 m. What is the magnitude of the acceleration of the particle at the time t = 2 sec?

We know that the moon Callisto revolves around Jupiter during a period of 17.0 days.17.0 days. The average distance from the center of Jupiter to the center of Callisto is 1.95×109 m.1.95×109 m. What is the acceleration ?a of Callisto due to its motion around Jupiter?

I don't understand how to do this problem. I tried taking the derivative, but that didn't give me the correct answer. I would really appreciate the help. When a 1984 Alpha Romeo Spider sports car accelerates in the x-direction at the maximum possible rate,its motion during the first 20. seconds is extremely well modeled by the simple equation vx2=(60 m2/s3)t, where t is time in seconds and vx is in m/s. In other words, the squareof teh car's velocity increases linearly with time. What is its acceleration after 3s, assuming that the car starts from rest at t=0 s?

A truck travels around a circular track. The position of the truck is described by the equations (400 · cos 0) m and 0 = (0.002 · t) rad, where t is in seconds. r = r = f@) Using cylindrical coordinates, a. Determine the truck's radial and transverse components of velocity at t = 4 s, v, and vo. b. Determine the truck's radial and transverse components of acceleration at t = 4 s, a, and ag.

A speed skater increases his speed from 10m/s to 12.5m/s over a period of 3s while coming out of a curve of 20m radius. What is the magnitude of the resultant acceleration as he leaves the curve?

A particle moves along a circular path having a radius of 1.1 m. At an instant when the speed of the particle is equal to 3.22 m/s and changing at the rate of 6.46 m/s², what is the magnitude of the total acceleration of the particle?

A Ferris wheel with radius 8.5 m initially rotates clockwise at a constant rate by completing 1.25 rev in 40.00 s.  It then begins to decelerate at a rate of 0.40 rad/s2 with its only passenger at the top of the wheel.  Find the direction of the total acceleration vector.  Express your answer as a positive number with respect to the positive x-axis.  Choose up and to the right as your positive direction.

The earth moves around the sun in an orbit that is roughly circular with a radius of 1.5 x 10^11m once every year (1 year = 3.15 x 10^7s). What is the magnitude of the acceleration experienced by the Earth?

Please answer parts a through c