Quiz Number 34
Name:
Date:
Today’s Calculus Tip:
Acceleration is the derivative of velocity, and velocity the derivative of position.
10  10 cos t
for
t
0  t  6 , and x(0)  0 , where t is measured in seconds and x in meters.
A particle moves along the x-axis. Its position at time t is given by x(t ) 
1.
Find an expression in t for the velocity for 0  t  6 .
2.
What is the velocity at time t = 0 ?
3.
When is the particle moving to the right?
4.
Find the total distance traveled by the particle during the first 6 seconds.
5.
When is the acceleration of the particle 0?