Projectile Motion Question: A projectile is fired on a long flat firing range....

In summary: One for before firing and one for after firing. Can you please clarify which equation is for before firing?B.)Determine the total time t in the air.t = 2*V*sin 45.2/g = 2*43.6*0.71/9.806 = 6.314 sec
  • #1
blackcemre
5
0

Homework Statement


A projectile is fired with an initial speed of 46.6 m/s at an angle of 42.2 ∘ above the horizontal on a long flat firing range.

1-Determine the maximum height reached by the projectile.

2-Determine the total time in the air.

3-Determine the total horizontal distance covered (that is, the range).

4-Determine the speed of the projectile 1.50 s after firing.

5-Determine the direction of the motion of the projectile 1.50 s after firing.

Homework Equations


v = vo +at x = xo + vot + .5at2 v2 = vo2 + 2a(x - xo) x=vt

The Attempt at a Solution


A.) Determine the maximum height Ymax reached by the projectile.

Ymax = (V*sin 45.2)^2/2g = (43.6*0.71)^2/19.612 = 48.86 mB.)Determine the total time t in the air.

t = 2*V*sin 45.2/g = 2*43.6*0.71/9.806 = 6.314 secC.)Determine the total horizontal distance covered (that is, the range).

Δx = V*cos 45.2*t = 43.6*0.705*6.314 = 194.08 m
 
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  • #2
blackcemre said:

Homework Statement


A projectile is fired with an initial speed of 46.6 m/s at an angle of 42.2 ∘ above the horizontal on a long flat firing range.

1-Determine the maximum height reached by the projectile.

2-Determine the total time in the air.

3-Determine the total horizontal distance covered (that is, the range).

4-Determine the speed of the projectile 1.50 s after firing.

5-Determine the direction of the motion of the projectile 1.50 s after firing.

Homework Equations


v = vo +at x = xo + vot + .5at2 v2 = vo2 + 2a(x - xo) x=vt

The Attempt at a Solution


A.) Determine the maximum height Ymax reached by the projectile.

Ymax = (V*sin 45.2)^2/2g = (43.6*0.71)^2/19.612 = 48.86 mB.)Determine the total time t in the air.

t = 2*V*sin 45.2/g = 2*43.6*0.71/9.806 = 6.314 secC.)Determine the total horizontal distance covered (that is, the range).

Δx = V*cos 45.2*t = 43.6*0.705*6.314 = 194.08 m

So what's the question? You couldn't do #4 and #5?

Zz.
 
  • #3
blackcemre said:
A projectile is fired with an initial speed of 46.6 m/s at an angle of 42.2 ∘ above the horizontal

blackcemre said:
A.) Determine the maximum height Ymax reached by the projectile.

Ymax = (V*sin 45.2)^2/2g = (43.6*0.71)^2/19.612 = 48.86 m
The numbers you've used in your work do not match those stated in the problem statement. Which numbers are correct?
 
  • #4
There is confusion about the symbols used.
Is V the initial speed?
In the relevan equations, there are two different equations for x.
 

1. What is projectile motion?

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

2. What factors affect the trajectory of a projectile?

The trajectory of a projectile is affected by the initial velocity, the angle of launch, and the force of gravity.

3. How is the range of a projectile calculated?

The range of a projectile is calculated using the formula R = (V^2 * sin(2θ))/g, where V is the initial velocity, θ is the angle of launch, and g is the acceleration due to gravity.

4. Can a projectile have a curved trajectory?

Yes, a projectile can have a curved trajectory if there is an external force acting on it, such as air resistance or wind.

5. What is the maximum height reached by a projectile?

The maximum height reached by a projectile is calculated using the formula H = (V^2 * sin^2(θ))/(2g), where V is the initial velocity and θ is the angle of launch. This is the point at which the vertical component of the projectile's velocity becomes zero.

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