What Went Wrong? Calculating the Max Height of a Projectile at a 30 Degree Angle

In summary, the conversation discusses finding the maximum height of a projectile fired at a 30 degree angle with an initial speed of 0.714m/s. The solution is calculated using the equation V22=V12+2ad, resulting in a height of 19.49m. However, it is noted that this answer is not practical and the math may be incorrect. A suggestion is made to double check the math, which leads to an updated solution of d=\frac{V_1^2}{2(9.81)}.
  • #1
Bobbert
16
0

Homework Statement


Find the max height of a projectile fired at an angle of 30 degrees if it's inital speed is 0.714m/s.
(this is a lab so I have other data that might be needed)

Homework Equations


V22=V12+2ad

The Attempt at a Solution


V22=V12+2ad
0=(0.714sin30o)2+2(-9.81)(d)
d=19.62-0.127449
d=19.49m

Now this answer is not practical at all. There is no way my projectile went that high. Maybe a couple meters, but not 19.5m. Where did I go wrong?
 
Physics news on Phys.org
  • #2
Bobbert said:
3. The Attempt at a Solution
V22=V12+2ad
0=(0.714sin30o)2+2(-9.81)(d)
d=19.62-0.127449

d=19.49m

Now this answer is not practical at all...

Maybe it's your math that isn't practical?

Shouldn't you get a result that is a small number divided by a big number?
 
  • #3
If v2=0

then 0=V12-2(9.81)d

[tex]d=\frac{V_1^2}{2(9.81)}[/tex]
 
  • #4
wow, it is way to late. How did I mess that up.
 

What is the definition of "Max Height of a Projectile"?

The max height of a projectile refers to the highest point reached by an object that is launched or thrown into the air and follows a parabolic path.

How is the max height of a projectile calculated?

The max height of a projectile can be calculated using the equation: h = (v2 * sin2θ) / 2g, where h is the max height, v is the initial velocity, θ is the launch angle, and g is the acceleration due to gravity.

What factors affect the max height of a projectile?

The max height of a projectile is affected by the initial velocity, launch angle, and acceleration due to gravity. Air resistance can also play a role in altering the max height.

Is there an optimal launch angle for achieving the max height of a projectile?

Yes, there is an optimal launch angle for achieving the max height of a projectile. This angle is 45 degrees, as it allows for the most efficient conversion of initial velocity into vertical velocity.

Can the max height of a projectile be greater than the initial height?

Yes, the max height of a projectile can be greater than the initial height. This occurs when the launch angle is greater than 45 degrees, allowing for a longer time in the air and therefore a greater max height.

Similar threads

  • Introductory Physics Homework Help
Replies
3
Views
1K
  • Introductory Physics Homework Help
Replies
2
Views
1K
Replies
5
Views
2K
  • Introductory Physics Homework Help
Replies
1
Views
9K
  • Introductory Physics Homework Help
Replies
9
Views
4K
  • Introductory Physics Homework Help
Replies
2
Views
2K
  • Introductory Physics Homework Help
Replies
14
Views
4K
  • Introductory Physics Homework Help
Replies
4
Views
2K
  • Introductory Physics Homework Help
Replies
7
Views
2K
  • Introductory Physics Homework Help
Replies
2
Views
27K
Back
Top