Projectile Motion on a sloped surface

AI Thread Summary
A projectile is launched at 10 m/s from a sloped surface angled at 30 degrees, at a 45-degree angle relative to the horizontal. The discussion focuses on determining the landing distance from the launch point and the time it takes to reach that point. The initial attempts to solve the problem involved incorrectly resolving the angles, leading to confusion about the parabolic trajectory. Participants emphasize the importance of deriving equations for both the projectile's path and the sloped surface to find their intersection accurately. The lack of dimensions in the provided diagram complicates the analysis, highlighting the need for a methodical approach using projectile motion equations.
Doonami
Messages
5
Reaction score
0

Homework Statement


A projectile is launched at 10m/s from a sloped surface. The surface is angled 30degrees, and the projectile is launched off from the surface at a 45degrees angle relative to the horizon.

Find the distance from the launching point where the projectile lands.
How long does it take to reach this point?

Homework Equations


v = 10 m/s

The Attempt at a Solution


I've tried solving this by resolving the angled plane as the horizon, giving the projectile angled at 75degrees, but I don't think this is the right way to proceed, the parabolic shape would not be preserved by this, and the length from origin would be wrong.

Thanks for the help, I'm really struggling how to approach this problem.
 

Attachments

  • physics1.jpg
    physics1.jpg
    1.8 KB · Views: 577
Physics news on Phys.org
Can you come up with an equation describing the parabola? And one describing the sloped surface? Find their intersection.
 
I considered that as well. However no dimensions are given. The picture provided is almost exactly as it was presented.
 
Doonami said:
However no dimensions are given. The picture provided is almost exactly as it was presented.
Don't try to guess it off the diagram. Derive it from projectile motion equations.
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Find the height of a lamp based on the velocities of projectiles
Replies
40
Views
2K
I need opinions on a Projectile Motion problem that I made up
Replies
11
Views
2K
Calculate the displacement? (Projectile motion problem)
Replies
3
Views
2K
Projectile motion of a cannon ball versus time
Replies
15
Views
2K
Relationship between Launch height and range of a projectile
Replies
15
Views
25K
How Do You Solve a Projectile Motion Problem?
Replies
3
Views
4K
Where on the hill does the projectile land?
Replies
9
Views
3K
Conceptual Question on Projectile Motion
Replies
2
Views
3K
Is the y-component of projectile motion acceleration equal to gravity?
Replies
8
Views
2K
Projectile Motion - object that is shot at an angle of 55 degrees
Replies
8
Views
2K

Hot Threads

Recent Insights

Back
Top