As in Problem 14, let the displacements be y 1 = 3 sin ( t / 2 ) and y 2 = sin t . The pendulums start together at t = 0. Make computer plots to estimate when they will be together again and then, by computer, solve the equation y 1 = y 2 for the root near your estimate.
As in Problem 14, let the displacements be y 1 = 3 sin ( t / 2 ) and y 2 = sin t . The pendulums start together at t = 0. Make computer plots to estimate when they will be together again and then, by computer, solve the equation y 1 = y 2 for the root near your estimate.
As in Problem 14, let the displacements be
y
1
=
3
sin
(
t
/
2
)
and
y
2
=
sin
t
.
The pendulums start together at
t
=
0.
Make computer plots to estimate when they will be together again and then, by computer, solve the equation
y
1
=
y
2
for the root near your estimate.
Jonathan was watching his little brother Will play on a swing set. He decided that he
would like to find his distance above the ground using a sine or cosine curve. He starts
timing and finds that at t = 3 seconds Will is at his highest point above ground, 8 feet.
He reaches his lowest point, 1 foot, exactly 2 seconds later.
Write an equation that will
find Will's height after t seconds.
Find Will's height after
36 seconds
Find the first and second time Will is 5.5 feet above ground.
A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)
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