Hi, I have searched thoroughly through 2 different college textbooksfor these eq

Question

Hi,
I have searched thoroughly through 2 different college textbooksfor these equations, but cannot find them.
The equations I need are for NON-LEVEL parabolic/projectile motionin the simplest way you have write the terms (i.e. unambiguously).Assume that gravity and NO other resistant forces exist in thissituation. That is, where y initial does not equal y final.

1) H max (maximum height of the projectile) = y max = ?

2) Range = x final

3) t at H max

4) t at Range

5) any other general-form equations that can be manipulated to findthe above, such as

y final= ???

x final = ???

6)
If you have any additional advice for me about using this withCALCULUS (vector calc), since that is the class I will use this in,I would greatly appreciate hearing it. In other words, if there areany derivative/integral equations I can use, that would bewonderful.


Thank you so much in advance!

-Laura

Explanation / Answer

The formula for the range on an inclined planeis x = (2 v2 / g) * cos2 *(tan - tan ) = angle of projectile above horizontal = angle of plane above horizontal x = horizontal distance traveled by projectile (not distancealong plane) R = 2 v2 cos2 * (tan - tan) / (g cos )       therange along the plane Set = 0 to get regular range formula Equation of the path is y = x tan - g x2 / (2 v2cos2 ) Found using y = - g t2 / 2 + v t sin +C      where C = 0    and eliminating t since dy/dt = - g t + v sin

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.