Finding range given impact velocity?

AI Thread Summary
A projectile impacts the ground at 65 m/s at a 25° angle below the horizontal, prompting a discussion on calculating its horizontal range. The key question is whether the initial and final velocities are equal in magnitude but differ in direction, which is affirmed for level ground without air resistance. Participants explore using initial horizontal velocity (Vix) and time of flight (Δt) to determine the range (Δx). The calculated horizontal range options are 170m, 330m, 780m, and 360m. The discussion concludes that launch and impact velocities are symmetrical under the specified conditions.
jerm174
Messages
1
Reaction score
0
A projectile shot over level ground hits the ground with a velocity of 65m/s at an angle of 25° below the horizontal. What was the horizontal range of the projectile?
170m
330m
780m
360m

If something is launched over a horizontal plane, does Vi=Vf? (same magnitude and velocity) (but different direction obviously).
Would I then be able to find Vix and Δt to find the Δx (range)?
 
Physics news on Phys.org
jerm174 said:
A projectile shot over level ground hits the ground with a velocity of 65m/s at an angle of 25° below the horizontal. What was the horizontal range of the projectile?
170m
330m
780m
360m

If something is launched over a horizontal plane, does Vi=Vf? (same magnitude and velocity) (but different direction obviously).
Would I then be able to find Vix and Δt to find the Δx (range)?

Welcome to the PF.

Yes, over level ground with no air resistance, the launch and impact velocities and angles should be symmetrical.
 

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 'Calculation of Tensile Forces in Piston-Type Water-Lifting Devices at Elevated Locations'

Thread 'Calculation of Tensile Forces in Piston-Type Water-Lifting Devices at Elevated Locations'

Figure 1 Overall Structure Diagram Figure 2: Top view of the piston when it is cylindrical A circular opening is created at a height of 5 meters above the water surface. Inside this opening is a sleeve-type piston with a cross-sectional area of 1 square meter. The piston is pulled to the right at a constant speed. The pulling force is（Figure 2）： F = ρshg = 1000 × 1 × 5 × 10 = 50,000 N. Figure 3: Modifying the structure to incorporate a fixed internal piston When I modify the piston...
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

Relationship between Launch height and range of a projectile
Replies
15
Views
25K
Find the height of a lamp based on the velocities of projectiles
Replies
40
Views
2K
Find the range of an object coming off an inclined plane
Replies
1
Views
2K
Projectile Angle Calculation: Finding Optimal Launch Angles for Accurate Hits
Replies
3
Views
2K
Finding range and height of bullets when given velocity
Replies
2
Views
4K
Finding relationship between Range and Launch height
Replies
6
Views
2K
Finding the magnitude of velocity vector
Replies
3
Views
3K
Find the rate of change of velocity
Replies
5
Views
2K
Finding Velocity of Golf Club After Impact with Ball
Replies
14
Views
5K
Projectile Problem: Find y, vy0, vy Impact, & Velocity Mag/Dir
Replies
1
Views
1K

Hot Threads

Recent Insights

Back
Top