really? h(s) depends only on x? and why do you have sin^2(4x) twice?
and that's some puny pogo stick, if it never gets more than 4 cm off the ground!
(a) sin^2(4x) = 1/2 (1 - cos(8x)), so it has a period of π/4. It hits the x-axis at the end of each period.
(b) just find h(2)
(c) solve h(s) = 2.5
so fix your function and use the hints above.
The height (h) in centimetres of Shuntaro’s pogo stick from the ground as he jumps on it since s seconds have passed is roughly modelled by the equation h(s) = sin^2(4x) + 2sin^2(4x) + 1
a) How many times does Shuntaro hit the ground in the first 5 seconds?
b) How many centimetres is Shuntaro off the ground after 2 seconds?
c) During the first second, when is Shuntaro at 2.5 centimetres to two decimal places?
4 answers
Please check for typos.
Do you mean h(s) of h(x)?
Do you really mean 3sin^2(4x) + 1 ?
Do you mean h(s) of h(x)?
Do you really mean 3sin^2(4x) + 1 ?
also, h(s) never is equal to zero. The pogo stick never touches the ground?
As written it is never less than 1 cm above ground by the way sin^2 is always +
1 answer