quadratic functions
- Thread starter xpreso
- Start date
the second rocket will be launched with initial upward veiocity of 144 feet per second.
1.Write a quadratic function to represent the altitude of the second rocket as a function of elapsed time.
2. you want the rocket to burst an burst at an altitude of 320 feet. Use ypurfunction to write a quadratic equation by setting h(t) = 320. Then rewrite the equation in standard form.
what i wrote for 1& 2
1. 56= -t square + 144t
2. 320 = t square + 144
1.Write a quadratic function to represent the altitude of the second rocket as a function of elapsed time.
2. you want the rocket to burst an burst at an altitude of 320 feet. Use ypurfunction to write a quadratic equation by setting h(t) = 320. Then rewrite the equation in standard form.
what i wrote for 1& 2
1. 56= -t square + 144t
2. 320 = t square + 144
For 1, How did you get such an answer? Where did the 56 come from? You need to start with a general kinematic equation if you didn't know that. Many of my classmates when I took Physics would outright guess, putting t's and any given numbers together hoping for partial credit. Needless to say our class was a lot smaller mid-semester.
\(\displaystyle \L\\ d = d_0 + v_0t + \frac{1}{2}at^2\)
Assuming + is downward...
\(\displaystyle \L\\ d = 0 - 144t + \frac{1}{2}(9.8)t^2\)
(edited for corrrection)
\(\displaystyle \L\\ d = d_0 + v_0t + \frac{1}{2}at^2\)
Assuming + is downward...
\(\displaystyle \L\\ d = 0 - 144t + \frac{1}{2}(9.8)t^2\)
(edited for corrrection)
My apologies, I thought it was for a Physics class. This should be the correct formula, but the form my vary because it is a math class. In my experience, polynomials in any Mathematics class are written in decending order of the powers (i.e. \(\displaystyle 3t^2 + 5t + 8\)), while the kinematics [motion] equations in Physics are often written in ascending order (i.e. \(\displaystyle 8 + 5t + 3t^2\)). Consult your texbook to see how your teacher wants you to write it.xpreso said:
Also, take care to look at my post again. I made a minor error when substituting in for a.