A cyclist rides along a straight track coincident with the x–axis. For 0≤t≤10 seconds, the horizontal velocity (in meters per second) is given by
vx(t)=0.6t2−4t+7.
At t=0 the cyclist is 2 meters from the origin in the positive x–direction.
(a) Determine the cyclist’s position function x(t) for 0≤t≤10 seconds.
(b) Find all values of t in [0,10] at which the cyclist is momentarily at rest.
(c) Calculate the cyclist’s net displacement over the interval 0≤t≤10 seconds.