 
Summary: Math 151
Fall 2000 Common Exam 1
Solutions to Version A
Part 1. Multiple choice problems. Each problem is worth 4 points. Read each question carefully.
No calculators are allowed on this part.
1. The position of a particle on the xaxis is given by the function s(t) = t3  t + 1, where s is in meters
and t is in seconds. Compute the average velocity of the particle over the t interval [0, 2].
a) 2 m/s b) 3 m/s c) 3.5 m/s d) 6 m/s e) 11 m/s
The average velocity equals the change in position divided by the change in time.
average velocity =
s(2)  s(0)
2  0
=
(8  2 + 1)  1
2
= 3
2. The graph of y = f(x) passes through the point P(2, 0), and lim
x 2
f(x)
x  2
