Arrow Trajectory: 29° and 50 m/s

  • Thread starter Thread starter bam3211
  • Start date Start date
  • Tags Tags
    Trajectory
AI Thread Summary
An arrow is shot at a 29° angle with an initial velocity of 50 m/s, and the discussion focuses on calculating its maximum height and horizontal distance to the target. To find the maximum height, the vertical component of the velocity should be analyzed using the equation Vf^2 = Vi^2 + 2ad. The time the arrow remains in the air can be determined first, which is then used to calculate the horizontal distance by multiplying this time by the horizontal component of the velocity. The emphasis is on starting calculations with the vertical component for gravity-related problems. Understanding these steps is crucial for solving projectile motion scenarios effectively.
bam3211
Messages
2
Reaction score
0
An arrow is shot at 29.0° above the horizontal. Its velocity is 50 m/s and it hits the target.

What is the maximum height the arrow will attain?


The target is at the height from which the arrow was shot. How far away is it?

if anyone could give me some tips or steps to solve this problem that would be great

thanks
 
Physics news on Phys.org
bam3211 said:
An arrow is shot at 29.0° above the horizontal. Its velocity is 50 m/s and it hits the target.

What is the maximum height the arrow will attain?
Vf^2 = Vi^2 + 2ad



The target is at the height from which the arrow was shot. How far away is it?
How long does the arrow stay in the air? Find that time then multiply it by the horizontal component of the arrow's velocity.


For most (all?) of these gravity related problems, your work should start with the vertical component.
 

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

Projectile Motion: An Arrow Shot & Landed at Different Points
Replies
3
Views
2K
Projectile Motion on an Incline
Replies
6
Views
2K
Projectile motion of arrow shot parallel to ground
Replies
14
Views
6K
Projectile Motion: Calculating Initial Speed for Arrow at 30° Angle
Replies
4
Views
3K
Projectile Motion Arrow Problem
Replies
1
Views
3K
Horizontal Range (arrow fired max speed off moving horse)
Replies
9
Views
3K
Resultant Velocity of a Projectile
Replies
5
Views
8K
Perfectly Elastic Collision Arrow / Finding Final Velocity
Replies
2
Views
2K
Oblique soccer shot calculation task
Replies
38
Views
4K
How Do You Calculate Projectile Motion for a Toy Car and an Arrow?
Replies
9
Views
5K

Hot Threads

Recent Insights

Back
Top