Let the position of a swinging pendulum in simple harmonic motion be given by s t a cos t b sin t where a and b are constants t measures time in seconds and s measures position in centimeters If the position is 4 6 cm and the velocity is 4 4 cm s when t 0 find the values of a and b a a 4 4 and b 4 6 b a 4 4 and b 4 6 c a 8 8000 and b 9 2000 d a 2 2000 and b 2 3000 e a 4 6 and b 4 4 f a 4 6 and b 4 4