Acceleration of gravity and baseball problem

In summary, the question is asking for the height of a baseball that is hit a distance of D meters away during a game, with an acceleration of gravity of 9.8m/s^2 and remaining in the air for T seconds. The correct answer is h=0.5gt^2, which is unrelated to D. The distance is not half at the maximum height.
  • #1
nrc_8706
70
0
during a baseball game, a batter hits a popup to a fielder a distance of D m aways. the acceleration of gravity is 9.8m/s^2. if the ball reamins in the air for T seconds, how high does it rise.
1. h=D/4T
2.h=1/8gT^2
3.h=4D/T
4.h=2D/T
5.h=D/T
6.h=2gT^3
7.h=D/(2T)
 
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  • #2
Key:2

the motion in the direction of gravity is not ralated with D, h=0.5gt^2.
t is half of T, for T is up and down, and t is up or down
 
  • #3
?

so which one is the answer?
 
  • #4
Well, the answer is unrelated to D, so that eliminates 5 of the options.
 
  • #5
?

yea but which one cause if i get it wrong it deducts from my score. n my score is bad enough
 
  • #6
Neverland's answer should give you a clue, but you should really be able to work it out by yourself.
The question is asking you to show your knowledge of basic equations of motion.
Do you know these ?
 
  • #7
thanks

i figured it out but now they are asking for the angle and they give you the distance and time.

is the distance half of at the maximum height?
 

What is the acceleration of gravity?

The acceleration of gravity, denoted as g, is a constant value that measures the rate at which objects fall towards the Earth. On Earth, the average value of acceleration of gravity is approximately 9.8 meters per second squared (m/s²).

How does acceleration of gravity affect a baseball?

The acceleration of gravity affects a baseball in two main ways. First, it is responsible for pulling the ball downwards towards the ground. Second, it determines the speed at which the ball falls towards the ground. As the ball falls, the acceleration of gravity causes it to gain speed until it reaches its terminal velocity.

What is the "baseball problem"?

The "baseball problem" is a famous physics problem that involves calculating the trajectory of a baseball thrown by a pitcher. It takes into account factors such as the initial velocity, air resistance, and the acceleration of gravity to determine where the ball will land.

How does air resistance affect a baseball?

Air resistance, also known as drag, is a force that acts in the opposite direction of an object's motion through the air. In the case of a baseball, air resistance can slow down the ball and change its trajectory. This is why pitchers often use different types of pitches with varying amounts of spin to counteract the effects of air resistance.

How can the acceleration of gravity be measured?

The acceleration of gravity can be measured in several ways. One common method is using a simple pendulum, which consists of a mass attached to a string or rod. By measuring the time it takes for the pendulum to complete one full swing, the acceleration of gravity can be calculated using a mathematical formula. Other methods include using an accelerometer or conducting experiments with falling objects.

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