Arock is thrown upward from a bridge that is 22 feet above a road. the rock reaches its maximum height above the road 0.69 seconds after it is thrown and contacts the road 2.53 seconds after it was thrown.
write a function ff that determines the rock's height above the road (in feet) in terms of the number of seconds tt since the rock was thrown.
f(t)=
hint: the function ff can be written in the form f(t)=c⋅(t−t1)(t−t2)f(t)=c⋅(t-t1)(t- t2) for fixed numbers cc, t1t1, and t2t2.

with motion problems, the leading coefficient is -16 in english system of units

-16x^2+zx+95

the maximum height occurs at 0.87 seconds, so -b/2a is maximum height time

or -z/32=0.87, and z=27.84

look at the function of -16x^2+27.84x+95

maximum height is 107.1 feet

it takes 2.59 seconds to fall 107.1 feet. that makes it 3.46 seconds before it hits.

(a) the volume of the cone is 20/3 in3

hence, option a is correct.

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.