In: Math
The velocity function for a particle moving along a straight line is given by v(t) = 2 − 0.3t for 0 ≤ t ≤ 10, where t is in seconds and v in meters/second. The particle starts at the origin.
(a) Find the position and acceleration functions for this particle.
(b) After ten seconds, how far is the particle from its starting point?
(c) What is the total distance travelled by the particle in the interval [0, 10]?