Projectile Motion: Pitcher throwing a ball to a catcher

• ju456one
In summary, to determine the appropriate elevation angle in radians for throwing a ball with an initial velocity of 20 m/s and a distance of 40m, the kinematic equations, specifically those for projectile motion, should be used. The equation given in the conversation, which assumes equal takeoff and landing y distances, does not apply to this problem. Instead, all relevant kinematic equations should be considered in order to find the appropriate angle.
ju456one

Homework Statement

determine the acute angle (in radians) of appropriate elevation in the throwing of a ball, if the initial velocity is 20 m / s, g=9.81 m/s^2 and the distance in x is 40m. The ball leaves the hand of the pitcher with an elevation equal to 1.8m and the catcher receives it at 1m.

Homework Equations

3. The Attempt at a Solution [/B]
I tried using the equation above, but then why gives me the values (Yo = 1.8m and Y=1m)?

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Welcome to the PF.

In that equation, what is Vo? Is it total in the x direction, in the y direction, etc.? Can you show us your work using that equation?

Plus, it's best to get used to using all of the kinematic equations in solving problems like this, instead of trying to find one that seems to match the problem exactly. In this problem, for example, the takeoff and landing y distances are different, right?

Can you list more kinematic equations that apply to this problem, and try working the problem with those?

ju456one said:
I tried using the equation above
That equation is only for the case where launch and land are at the same height. It does not apply here.

berkeman

What is projectile motion?

Projectile motion is the motion of an object through the air that is subject to only the acceleration of gravity and air resistance. This type of motion can be seen in various sports, such as when a pitcher throws a ball to a catcher.

What factors affect the trajectory of a thrown ball?

The trajectory of a thrown ball is affected by the initial velocity, the angle at which it is thrown, and the effects of air resistance and gravity. Other factors such as the weight and shape of the ball can also have an impact on the trajectory.

How does air resistance affect projectile motion?

Air resistance, also known as drag force, affects the trajectory of a thrown ball by slowing it down and altering its path. This force is dependent on the speed and surface area of the ball, as well as the density and viscosity of the air.

Can a pitcher control the trajectory of a thrown ball?

Yes, a pitcher can control the trajectory of a thrown ball by adjusting the initial velocity and the angle at which it is thrown. They can also use techniques such as spin and release point to manipulate the movement of the ball in the air.

How does the distance between the pitcher and catcher affect projectile motion?

The distance between the pitcher and catcher does not significantly affect projectile motion, as long as the initial velocity and angle remain constant. However, a longer distance may result in a longer flight time and a greater impact of air resistance on the ball's trajectory.

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