Projectile Motion: Horizontal distance

In summary, the problem asks for the horizontal distance traveled by a bomb released from a jet flying at 250m/s at a 20 degree angle. The equations needed to solve this problem are vix = vicosthetha and viy = visinthetha, as well as the equation for constant acceleration, x = xi + vit + at^2/2. Using these equations, the horizontal distance can be calculated by setting vix equal to the horizontal velocity and solving for t, then plugging that value into the equation for range, R = vxt.
  • #1
coffeeandativ
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Homework Statement


A jet flying at 250m/s at an angle of 20 degrees above the horizontal releases a bomb 200m above the ground, how far does the bomb travel horizontally before hitting the ground?


Homework Equations


vix = vicosthetha
viy= visinthetha
not sure what else...

The Attempt at a Solution


vix= 234.923ms
viy= 85.505 ms

This is all I've managed to figure out so far, does anyone know more relevant equations that may help me out?
 
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  • #2
okay so you have got the component velocities which is always a good start.

next step is to recognise the equations you will need.

try y=yi+viyt+(at2)/2

and R(range)=vxt

from these u must realize the variables you are given, what you want(range) and the variables you need to find


okay in reread your question and saw that you specifically asked for an equation.

you should know that the equations i gave above can be derived from the equation for constant acceleration( in this case constant gravity).

this equation is x=xi+vit+at2/2

where x is th final DISPLACEMENT, xi is initial displacement tis time and a is the CONSTANT acceleration. this formula does not work with variable acceleration
 
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FAQ: Projectile Motion: Horizontal distance

What is projectile motion?

Projectile motion is the motion of an object that is launched in the air and moves along a curved path under the influence of gravity.

What is the horizontal distance in projectile motion?

The horizontal distance in projectile motion is the distance the object travels horizontally from its starting point to its ending point.

How is the horizontal distance calculated?

The horizontal distance can be calculated using the formula d = v * t, where d is the distance, v is the initial velocity, and t is the time the object is in motion.

What factors affect the horizontal distance in projectile motion?

The horizontal distance in projectile motion is affected by the initial velocity, angle of launch, and the acceleration due to gravity.

Can the horizontal distance ever be greater than the initial velocity?

No, the horizontal distance cannot be greater than the initial velocity as the object will always experience a decrease in velocity due to the force of gravity.

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