CPM Homework Help : CALC Problem 10-154

An object moves along the x-axis with an initial position of x(0) = 2. The velocity of the object when t > 0 is given by the equation $v ( t ) = 5 \operatorname { cos } ( \frac { \pi } { 2 } t ) + 4 t$ .

What is the acceleration of the object when t = 4?
What is the total distance the object covers during the interval 0 ≤ t ≤ 4?
What is the position of the object when t = 4?

Hint (a):

This is v′(4).

Hint (b):

This is x(4) where:

$x(t)=\int v(t)dt$

Hint (c):

This is x(4) – x(0).

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