# calculus

posted by
**pleh**
.

An object moves along the x-axis, according to x= (pi/2)t + sin(pi t).

a) What is the largest velocity such an object attains?

b) Identify one interval on which the object is accelerating in a positive direction. Explain your reasoning.

c) Name one part of that interval for which the object is speeding up, and explain why you know.