The position of a body moving on a coordinate line is given by s = t2 3t + 4 for 0 S t S 6, with s in meters and t in seconds. (a) Find the body's displacement and average velocity for the given time interval. Displacement = m Average velocity = m/s (b) Find the body's velocity at the endpoints of the interval. Velocity at t = 0 is m/s Velocity at t = 6 is m/s (c) Find the body's acceleration at the endpoints of the interval. Acceleration at t = 0 is Acceleration at t = 6 is (d) When, if ever, during the interval does the body change direction? If there is more than one answer, enter a comma separated list. If the body never changes direction during the interval, enter NONE. The equations for free fall at the surfaces of Uranus and Jupiter (s in meters, t in seconds) are s = 5.335t on Uranus and s = 12.975t2 on Jupiter. (a) How long does it take a rock falling from rest to reach a velocity of 27.8 m/s (about 100 km/hr) on each planet? On Uranus: seconds On Jupiter: seconds (b) Using derivatives, what is the acceleration due to gravity on each planet? On Uranus: m/s2 On Jupiter: m/s2The position of a body moving on a coordinate line is given by s = 2 9 3 - for 1