Where Will the Falling Suitcase Land? - Projectile Motion Homework Question

AI Thread Summary
The discussion focuses on a projectile motion homework problem involving a suitcase dropped from an airplane flying at 90.0 m/s at a 23.0-degree angle. The student calculated the time of flight as 4.845 seconds and found the horizontal distance to be 436.05 meters, later verifying the total distance using the Pythagorean theorem as 450.9 meters. Another participant suggested using the vertical component of the velocity and the equation for range to confirm the calculations. The conversation emphasizes the importance of correctly separating the x and y components of motion. The student seeks validation for their solution, indicating a need for peer review in physics problem-solving.
alex2256
Messages
6
Reaction score
0

Homework Statement


OK, I'm posting to clarify if my answer is correct.

1. An airplane is flying with a velocity of 90.0 m/s at an angle of 23.0m\s above the horizontal. When the plane is a distance 115 m directly above an observer that is standing on level ground, a suitcase drops out of the luggage compartment. How far from the observer will the suitcase land? You can ignore air resistance.

Homework Equations


y = ut + 1/2at^2
x = ut

The Attempt at a Solution


OK, I divided the x and y components into a table, then solved for time and got 4.845 seconds. I then plugged it into x = ut and got 436.05m, then constructed a triangle and did the Pythagorean Theorem and got 450.9m

Could someone please check this for me, since I don't have the answers to the question?

Thanks.
 
Physics news on Phys.org
To find time of flight t, use
y = - u*sinθ*t + 1/2*g*t^2.
- u*sinθ is the vertical component of the velocity of projection.
Then the range = u*cosθ*t
 

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

Circular motion to projectile motion
Replies
18
Views
2K
Where on the hill does the projectile land?
Replies
9
Views
3K
Projectile Motion Experimental Error
Replies
1
Views
2K
What is the Ideal Angle for a Frog's Jump to Reach 3 Meters Horizontally?
Replies
19
Views
2K
How Do You Solve a Projectile Motion Problem?
Replies
3
Views
4K
Projectile motion above ground given only angle and height
Replies
3
Views
2K
Calculate the displacement? (Projectile motion problem)
Replies
3
Views
2K
Projectile Motion - object that is shot at an angle of 55 degrees
Replies
8
Views
2K
Projectile Motion: time it takes for projectile to hit truck
Replies
15
Views
3K
Projectile Motion Graph Analysis
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top