# A girls throws a tennis ball straight into the air with a velocity of 64 feet/sec. If acceleration due to gravity is -32 ft/sec2, how many seconds after it leaves the girl’s hand will it take the ball to reach its highest point? Assume the position at time t = 0 is 0 feet. (4 points)

Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = sin(x), the x-axis, x = 0, and x = π (4 points)    2.  Suppose , and , find the value of . (4 points)
 16 18 8 32
3.  Evaluate the integral . (4 points)
 -2 0 2 4
4.  Use your graphing calculator to evaluate to three decimal places the value of . (4 points)
 3.771 3.636 1.571 1.111
5. (4 points)
 True False
1.  Find the average value of f(x)=e2x over the interval [2, 4]. (4 points)
 1463.18 731.59 1517.78 23.6
2.  Find the velocity, v(t), for an object moving along the x-axis if the acceleration, a(t), is a(t) = 2t + sin(t) and v(0) = 4. (4 points)
 v(t) = t2 + cos(t) + 3 v(t) = 2 + cos(t) + 1 v(t) = t2 – cos(t) + 5 v(t) = t2 + sin(t) + 4
3.  Find the distance, in feet, a particle travels in its first 4 seconds of travel, if it moves according to the velocity equation v(t)= -t2 + 4 (in feet/sec). (4 points)  16 12
4.  For an object whose velocity in ft/sec is given by v(t) = -t2 + 4, what is its displacement, in feet, on the interval t = 0 to t = 3 secs? (4 points)
 7.67 -3 -0.33 3 