Projectile Problem: Distance and Max Height

  • Thread starter Thread starter GusTu2007
  • Start date Start date
  • Tags Tags
    Projectile
AI Thread Summary
A projectile launched at a 45° angle with an initial velocity of 100√2 ft/sec follows the trajectory described by the equation y = x - (x/25)² for y ≥ 0. To determine how far the projectile travels horizontally before hitting the ground, the horizontal distance can be calculated using the equation's roots. The maximum height is found at the vertex of the parabola, which can be determined by using the vertex formula for parabolas. The projectile's maximum height and horizontal distance are key factors in understanding its motion. Overall, the discussion focuses on calculating the projectile's range and peak height based on its parabolic trajectory.
GusTu2007
Messages
1
Reaction score
0
Suppose that a projectile is fired at an angle of 45\circ from the
horizontal. Its initial position is the origin in the xy-plane, and its
initial velocity is 100\sqrt{}2 ft / sec. Then its trajectory will be the part of
the parabola y = x -( \frac{}{}x/25)^2 for which y ≥ 0.
a) How far does the projectile travel (horizontally) before it hits the
ground?
b) What is the maximum height above the ground that the
projectile attains?
 
Physics news on Phys.org
a) When it hits the ground again, what's the value of y?
b) The highest point is at the vertex of the parabola. Do you know how to find the vertex from the given eqn?
 
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
Find Projectile Flight Time Given Only Maximum Height
Replies
4
Views
2K
How Do You Solve a Projectile Motion Problem?
Replies
3
Views
4K
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
Hitting a rocket with a projectile
2
Replies
53
Views
5K
Relationship between Launch height and range of a projectile
Replies
15
Views
25K
How Long to Reach Maximum Height for a 70 m/s Projectile at 45 Degrees?
Replies
5
Views
2K
Projectile Motion Graph Analysis
Replies
1
Views
2K
Projectile Motion Max Height and Range
Replies
1
Views
3K

Hot Threads

Recent Insights

Back
Top