#18answer all parts a-d

(6%) Problem 18: The shadow of a pendulum cast on a flat board moves on a straight line. By placing the x-axis on the straight line with the origin at the middle of the total path, the x-coordinate of the shadow is given by the following function: x(t) = 51cos(), where t is in seconds and x is in centimeters. Forbes, David - david.forbes@doane.edu @theexpertta.com - tracking id: 9N69-72-B9-45-AB7A-40022. In accordance with Expert TA's Terms of Service, copying this information to any solutions sharing website is strictly forbidden. Doing so may result in termination of your Expert TA Account. A 25% Part (a) Find the speed, in centimeters per second, of the shadow at t = 1/4 s. Grade Summary V = Deductions 0% Potential 100% sinC cosO tan() 7 8 9 HOME Submissions cotan( asin acos() 4 5 6 Attempts remaining: 1 (100% per attempt) atan() acotan() sinh() 2 3 detailed view cosho tanh() cotanh() + 0 END Degrees O Radians VO BACKSPACE DEC CLEAR Submit Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: 1 Feedback: 0% deduction per feedback. 4 25% Part (b) Find the speed, in centimeters per second, of the shadow at t = 1/2 s. A 25% Part (c) Find the magnitude of the acceleration, in meters per second squared, of the shadow's motion at t = 1/3 s. 25% Part (d) How much distance, in centimeters, does the shadow travel in 20 sec