Velocity of an oscillator An object oscillates along a vertical line, and its position in centimeters is given by y(t) = 30 (sin t − 1), where t ≥ 0 is measured in seconds and y is positive in the upward direction.
a. Graph the position function, for 0 ≤ t ≤ 10.
b. Find the velocity of the oscillator, v(t) = y′(t).
c. Graph the velocity function, for 0 ≤ t ≤ 10.
d. At what times and positions is the velocity zero?
e. At what times and positions is the velocity a maximum?
f. The acceleration of the oscillator is a(t) = v′(t). Find and graph the acceleration function.
We need at least 10 more requests to produce the solution.
0 / 10 have requested this problem solution
The more requests, the faster the answer.