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Motion problems (differential calc)

Problem

A particle moves along the x-axis. The function v(t) gives the particle's velocity at any time t0:
v(t)=t33t28t+3
What is the particle's velocity v(t) at t=4?
v(4)=
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
What is the particle's acceleration a(t) at t=4?
a(4)=
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
At t=4, is the particle speeding up, slowing down, or neither?
Choose 1 answer:
Stuck?
Stuck?