An exhausted bicyclist pedals somewhat erratically when exercising on a static bicycle. the angular velocity of the wheels follows the equation ? (t)=at? bsin(ct)fort? 0, where t represents time (measured in seconds), a = 0.500 rad/s2 , b = 0.250 rad/s and c = 2.00 rad/s . athere is a spot of paint on the front wheel of the bicycle. take the position of the spot at time t=0 to be at angle ? =0 radians with respect to an axis parallel to the ground (and perpendicular to the axis of rotation of the tire) and measure positive angles in the direction of the wheel's rotation. what angular displacement ? has the spot of paint undergone between time 0 and 2 seconds? bexpress the angular displacement undergone by the spot of paint at t=2 seconds in degrees. remember to use the unrounded value from part a, should you need it. cwhat distance d has the spot of paint moved in 2 seconds if the radius of the wheel is 50 centimeters?