The equation below gives the position s = f(t) of a body moving on a coordinate line (s in meters, t in seconds). Find the body's velocity, speed, acceleration, and jerk at time $t = \frac{\pi}{4}$ sec.
$s = 3 \sin t + 6 \cos t$
At $t = \frac{\pi}{4}$ sec, the body's velocity is equal to
(Type an exact answer, using radicals as needed.)
At $t = \frac{\pi}{4}$ sec, the body's speed is equal to
(Type an exact answer, using radicals as needed.)
At $t = \frac{\pi}{4}$ sec, the body's acceleration is equal to
(Type an exact answer, using radicals as needed.)
At $t = \frac{\pi}{4}$ sec, the body's jerk is equal to
(Type an exact answer, using radicals as needed.)
