A question on projectile motion

In summary, projectile motion is the motion of an object launched into the air that moves along a curved path due to gravity. Factors such as initial velocity, launch angle, air resistance, and gravity affect its trajectory. In a vacuum, there is no air resistance and the projectile follows a parabolic path, but in air, it deviates from a perfect parabola. The maximum height and range can be calculated using equations involving the initial velocity, launch angle, and acceleration due to gravity. The launch angle greatly affects the range of a projectile, with the optimal angle being 45 degrees.
  • #1
jysim
7
0

Homework Statement


A ball is shot from a cannon on a hill that is 1.93m high and lands 17.34m away after 1/586s. What was the initial velociy of the ball?

I would really appreciate if you can provide explanation as well! Thanks!
 
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  • #2
welcome to pf!

hi jysim! welcome to pf! :wink:

call the initial speed "v", and use the standard constant acceleration equations for the x and y directions (separately) …

what do you get? :smile:
 

What is projectile motion?

Projectile motion is the motion of an object that is launched into the air and then moves along a curved path due to the influence of gravity. It is a combination of horizontal and vertical motion.

What are the factors that affect projectile motion?

The factors that affect projectile motion include initial velocity, launch angle, air resistance, and the force of gravity. These factors determine the shape and distance of the projectile's trajectory.

What is the difference between projectile motion in a vacuum and in air?

In a vacuum, there is no air resistance, so the projectile will follow a perfect parabolic path. In air, however, the projectile will experience air resistance, which will cause it to deviate from a perfect parabola.

How do you calculate the maximum height and range of a projectile?

The maximum height of a projectile can be calculated using the equation h = (v^2 * sin^2(theta)) / 2g, where v is the initial velocity, theta is the launch angle, and g is the acceleration due to gravity. The range of a projectile can be calculated using the equation R = (v^2 * sin(2*theta)) / g.

Can the launch angle affect the range of a projectile?

Yes, the launch angle can greatly affect the range of a projectile. The optimal launch angle for maximum range is 45 degrees, but the range can vary depending on the initial velocity and other factors such as air resistance.

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