This computer science problem involves algorithmic thinking and programming concepts. The solution below explains the approach, logic, and implementation step by step.
ScanSolve AI Answer
The angular displacement of a body on a circular orbit is given by the function: (t) = 2t^2 + 5t + 5 where t is in seconds. To calculate the angular velocity, we need to find the derivative of the angular displacement with respect to time. Angular velocity (t) is defined as (t) = (d)/(dt). Step 1: Differentiate the angular displacement function with respect to time. (t) = (d)/(dt)(2t^2 + 5t + 5) (t) = (d)/(dt)(2t^2) + (d)/(dt)(5t) + (d)/(dt)(5) (t) = 2(2t) + 5(1) + 0 (t) = 4t + 5 Step 2: Substitute t = 2 s into the angular velocity function. (2) = 4(2) + 5 (2) = 8 + 5 (2) = 13 rad/s The angular velocity at t = 2 s is 13 rad/s.