What Factors Determine the Trajectory of a Baseball?

In summary, the conversation is discussing how to solve for the velocity and time of a ball hit at an angle in a baseball game. Participants are using the equation V_x=Vocos(theta)+a_xt to solve for V_x, but are getting different results. They also discuss the layout of a baseball pitch and the direction of the ball's trajectory. The conversation ends with a suggestion to use symbols and a systematic approach to solve the problem.
  • #1
Sneakatone
318
0
in a baseball game the batter hits the ball and launches it upward at n angle of 52.0 degrees...\


I used V_x=Vocos(/theta)+a_xt to solve for V_x and got 31.6m/s which is wrong. what should I do.
 

Attachments

  • Screen shot 2013-02-14 at 8.12.33 PM.png
    Screen shot 2013-02-14 at 8.12.33 PM.png
    25 KB · Views: 777
Physics news on Phys.org
  • #2
You are mixing the ball and the fielder together. First solve for the ball, finding out where and when it lands, then figure out how the fielder can get there.
 
  • #3
I used the same equation and had 2.3 s and had 19.56 m/s. is that process correct?
 
  • #4
Sneakatone said:
I used the same equation and had 2.3 s and had 19.56 m/s. is that process correct?
I make it 2.47s. Pls show your working.
I can't do part b because I don't know the layout of a baseball pitch. In fact, I don't understand how you're supposed to know which direction the ball went.
I note also that the question makes no allowance for the height off the ground when the ball was struck.
 
  • #5
so I do 38 meters/ 2.47 seconds= 15.38 m/s .?
 
  • #6
haruspex said:
I make it 2.47s. Pls show your working.
I can't do part b because I don't know the layout of a baseball pitch.
It's called a field or a diamond. A pitch in baseball is the throw the pitcher makes at the batter.
In fact, I don't understand how you're supposed to know which direction the ball went.
I think we are to assume that ball goes straight at the center fielder.
I note also that the question makes no allowance for the height off the ground when the ball was struck.
I think we are to assume it is to be caught at the same height it was hit from.
 
  • #7
I still don't understand what to do
 
  • #8
Sneakatone said:
I still don't understand what to do
First, a correction. I don't get 2.47s for the flight time of the ball, I get 6.10s. Sneakatone, if you do not get that pls post your working. If/when you have the flight time right, find where the ball will land (as tms already instructed).
 
  • #9
I did 0=38cos(52)+(9.8)t45/6.1= 7.4 m/s
would that be correct?
 
  • #10
Sneakatone said:
I did 0=38cos(52)+(9.8)t
Why did you do that? You seem to be mixing up the horizontal and vertical components, among other things. Try using symbols to set up your equations; it will be clearer what is going on and where you are going wrong. It is best to proceed systematically. Start by drawing a diagram showing the forces on the ball. Then write down the kinematic equation for the vertical direction, then solve it for the time taken to go up and down.
 
  • #11
this is how i see it
 

Attachments

  • web.png
    web.png
    1.6 KB · Views: 563
  • #12
The ball does not keep going up without regard to gravity. What is the shape of the ball's trajectory?

And the distance the fielder is from the batter has no influence on the ball's trajectory.
 

FAQ: What Factors Determine the Trajectory of a Baseball?

What is the definition of minimum speed?

The minimum speed refers to the lowest possible velocity that an object can have while still maintaining motion. It is the point at which the object's speed cannot decrease any further without coming to a complete stop.

How do you calculate minimum speed?

To calculate minimum speed, you need to know the distance an object travels and the time it takes to travel that distance. The formula for minimum speed is distance divided by time (v = d/t). This will give you the minimum speed at which the object must travel to cover the given distance in the given time.

What factors affect the minimum speed of an object?

The minimum speed of an object is affected by factors such as the object's mass, the force acting on the object, and any friction or resistance present. These factors can either increase or decrease the minimum speed required for an object to maintain motion.

How can you find the minimum speed on a distance-time graph?

The minimum speed on a distance-time graph can be found by looking at the slope of the line connecting the points on the graph. The steeper the slope, the higher the speed. The point on the x-axis where the line crosses is the minimum speed. Alternatively, you can also calculate the speed using the formula v = d/t, where d represents the distance and t represents the time between two points on the graph.

Why is minimum speed important in physics?

Minimum speed is important in physics because it helps determine the minimum amount of energy required to keep an object in motion. It also helps in understanding the relationship between speed and distance, as well as the forces acting on an object. Minimum speed is a fundamental concept in many physics principles and is essential in studying motion and energy.

Back
Top