i only need c,d,e

5. [5/10 Points] DETAILS PREVIOUS ANSWERS SCALCET9 3.7.003. A graphing calculator is recommended. A particle moves according to a law of motion s = ((t), t 2 0, where t is measured in seconds and s in feet. (If an answer does not exist, enter DNE.) ((t ) - sin at (a) Find the velocity (in ft/s) at time t. A COS V(t) = 2 ft/s 2 (b) What is the velocity (in ft/s) after 1 second? v(1) = 0 ft/s (c) When is the particle at rest? (Use the parameter n as necessary to represent any Integer.) 0.2,4.6 X (d) When is the particle moving in the positive direction for 0 s t s 67 (Enter your answer using interval notation.) (2,4) X (e) Draw a diagram to Illustrate the motion of the particle and use it to find the total distance (in ft) traveled during the first 6 seconds. 10 x ft