For some moving object, its motion is such that its position as a function of ti
ID: 2282240 • Letter: F
Question
For some moving object, its motion is such that its position as a function of time can be described by: x(t) = t^3/2 ? t^2 (for positive x; distances measured in meters.) The object is at rest at time t=0 s.
a) Sketch this function (x vs t) for positive t. b) Where is the particle located at 3.5 seconds? c) At what non-zero time is the particle back at the origin?
d) When the particle moves back across its starting position, what is its velocity? e) What will the particle's acceleration be at 3.5 seconds?
f) What
Explanation / Answer
b. the particle located at 3.5 seconds , = -5.70
c. non-zero time is the particle back at the origin, t=1
d. When the particle moves back across its starting position, its velocity is -0.5m/s in opposite direction
e. What will the particle's acceleration be at 3.5 seconds = -1.599 m/s2