Calculating Projectile Motion: Distance of Cannonball to Black Pearl

AI Thread Summary
To calculate the distance from the cliff to the Black Pearl, the projectile motion of the cannonball must be analyzed. The cannonball is fired at an initial speed of 50 m/s at an angle of 30°, with the cliff height being 100 m. The vertical displacement (Delta y) is -100 m, indicating the cannonball falls from the cliff to the ship. The horizontal (Vx) and vertical (Vy) components of the velocity are determined using trigonometric functions. By applying these calculations, the horizontal distance to the Black Pearl can be accurately found.
SherazSiddiqu
Messages
2
Reaction score
0
Captain Jack Sparrow shoots a cannonball at the black pearl which is located off the cliff that is 100m high. The cannon ball leaves the cannon at 50m/s at 30° to the horizon and hits the Black Pear(the ship) directly.
How far is the Black Pearl(the ship) from the cliff?

Please help thanks.
 
Physics news on Phys.org
Here's a picture:
35bvxab.png


So from that you can use this equation to solve:
l_vertical_displacement_equation.png

Delta y is the change in the y which is y2-y1 meaning the change in y will be -100 (NEGATIVE)Edit: I forgot you need to find the x and y components:
v cos (theta) = Vx
V sin (theta) = Vy - You need this 1, other is just for extra practice or w/e. (for this problem)
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

How Do You Calculate Projectile Motion for a Cannonball?
Replies
3
Views
3K
Projectile Motion- magnitude of final velocity
Replies
2
Views
3K
How do I calculate the time of flight for a horizontally fired cannonball?
Replies
2
Views
2K
How Is Force Calculated in a Human Cannonball Stunt?
Replies
10
Views
5K
How Do You Calculate Cannonball Trajectory from a Cliff?
Replies
3
Views
2K
Sphere Rolling Down Hill into Projectile Motion
Replies
3
Views
2K
Projectile motion of basketball
Replies
10
Views
4K
What Are the Optimal Launch Angles for a Projectile to Pass Through an Opening?
Replies
25
Views
3K
Can You Solve This Physics Problem About a Cannon, a Cliff, and a Moving Ship?
Replies
9
Views
3K
What is the distance the projectile lands from the base of the cliff?
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top