In: Physics
The 1D velocity of an animated space alien is well-represented by the expression v(t)= t3 -11t2 +38t -40 with t in seconds and v in m/sec. Assume that x(1)=0 m and consider the motion between t = 1 and t = 6 sec. (a) What are the (implied) units of the number 11 in the expression for v(t)? (b) During what times is the alien moving in the positive direction? At what times is the alien at rest? (c) What is the average acceleration of the alien between 2 and 5 sec? (d) What is the instantaneous acceleration of the alien at t = 5 sec? (e) What is the average velocity of the alien between 1 and 5 sec (f) Where is the alien at t = 4 sec? (x = ?)