Q(1): An object moving vertically is at the given heights at thespecified times. Find the position equation
s = 1/2at2 + v0t + s0
for the object At
t = 1 second, s = 141 feet
t = 2 seconds, s = 93 feet
t = 3 seconds, s = 13 feet
Q(2):
Find the equation
y = ax2 +bx + c
of the parabola that passes through the points. To verify yourresult, use a graphing utility to plot the points and graph theparabola.
(0, 3), (1, 4), (2, 3)
Q(3):
A natural history museum borrows $2,000,000 at simple annualinterest to purchase new exhibits. Some of the money is borrowed at5%, some at 6.5%, and some at 7.5%. Use a system of linearequations to determine how much is borrowed at each rate given thatthe total annual interest is $129,750 and the amount borrowed at6.5% is four times the amount borrowed at 7.5%. Solve the system oflinear equations using matrices.
