Projectile Problem: How to Find Distance of Ball Launched at 30 Degrees

We need to know at what velocity it was launched (see the equation you gave). The angle would be used to find the vertical and horizontal components of that velocity. Then we could use basic motion equations to find the time it was in the air, and the horizontal distance traveled in that time.
  • #1
lkadfj
1
0

Homework Statement


A ball is launched at 30 degrees. How far away will it land if dy= 56.2m (height of launch)

Homework Equations


t=vy/g

The Attempt at a Solution


t=vy/9.8m/s
I can't figure out how to find either vy or t
 
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  • #2
lkadfj said:

Homework Statement


A ball is launched at 30 degrees. How far away will it land if dy= 56.2

Homework Equations


t=vy/g

The Attempt at a Solution


t=vy/9.8m/s
I can't figure out how to find either vy or t
Heck, I can't figure out what dy = 56.2 is supposed to be. Does it have units? Is it a velocity? A distance? What?
 
  • #3
lkadfj said:
A ball is launched at 30 degrees. How far away will it land if dy= 56.2m (height of launch)
You seem to be saying that dy is the height from which it was launched (compared with the landing point, presumably). But if so, there's not enough information. From the name 'dy' I would guess it might mean the maximum height reached (as in, delta y), and that the landing point is on the same level as the launch point. If so, there is enough information.
 

1. What is a projectile problem?

A projectile problem is a type of physics problem that involves calculating the motion of an object that is launched or thrown into the air. These problems typically involve finding the distance, height, and/or time of flight of the object.

2. How do you find the distance of a ball launched at 30 degrees?

To find the distance of a ball launched at 30 degrees, you can use the formula d = v2 * sin(2θ) / g, where d is the distance, v is the initial velocity of the ball, θ is the launch angle (in radians), and g is the acceleration due to gravity (9.8 m/s2). Plug in the values and solve for d.

3. Why is the launch angle of 30 degrees important in projectile problems?

The launch angle of 30 degrees is important because it is the angle at which the horizontal and vertical components of the initial velocity are equal. This means that the object will travel the furthest distance before hitting the ground, making it the optimal angle for maximum distance in a projectile problem.

4. Can you use the same formula to find the distance for any launch angle?

No, the formula for distance in a projectile problem only works for a launch angle of 30 degrees. For other launch angles, you will need to use a different formula or adjust the values in the formula to account for the different angle.

5. Are there any real-world applications for projectile problems?

Yes, projectile problems have many real-world applications, such as in sports like baseball and basketball, where players need to calculate the height and distance of their throws or shots. They are also used in engineering and design, such as in calculating the trajectory of a rocket or missile launch.

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