2D Kinematics: astronaut ballplayer

In summary, an astronaut in a space suit can throw a ball a maximum distance of 14 meters on the surface of the earth. To achieve this maximum distance, the ball should be thrown at an angle of 45 degrees to the horizontal. However, the speed needed to produce this distance is 14.54 m/s, not 14 m/s. On a planet with a gravitational acceleration of 18 m/s2, the ball can be thrown a distance of 9.81*14/18 = 7.67 meters. As for the height reached on the "maximum range" trajectory on this planet, it is not specified and cannot be solved without further information. To solve for the speed and height in parts B and D
  • #1
dharmank
1
0
An astronaut in his space suit can throw a ball a maximum distance dmax = 14 m on the surface of the earth.
a) For a given speed of the ball, what angle to the horizontal q (in degrees) will yield the greatest range?

q = 45 OK

b) If the ball is thrown at this same angle q, what speed will produce this greatest range (14 m) ?

v = 14.54 m/s NO

c) How far can he throw the ball on a planet where g1 = 18 m/s2?

xp =9.81*14/18 m OK

d) What height will the ball reach on this "maximum range" trajectory? (on the planet where g1 = 18 m/s2)

hmax = 12 m NO

HOW DO YOU SOLVE PART B AND D?
An explanation of the process would be great
 
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  • #2

Related to 2D Kinematics: astronaut ballplayer

1. What is 2D kinematics and how is it related to an astronaut ballplayer?

2D kinematics is the study of motion in two dimensions, typically using equations and vectors to analyze the movement of an object. In the case of an astronaut ballplayer, this would involve analyzing their movements in both the vertical and horizontal directions, such as throwing a ball or jumping in zero gravity.

2. How does the lack of gravity affect the 2D kinematics of an astronaut ballplayer?

In a zero gravity environment, an astronaut ballplayer would experience a lack of external forces acting on them, resulting in a different type of motion compared to on Earth. This would require a different set of equations and approaches to analyze their movements.

3. What are some real-life applications of 2D kinematics for astronaut ballplayers?

One application could be in training astronauts for space missions, where understanding their movements in zero gravity would be crucial for performing tasks and experiments. Another application could be in designing and testing sports equipment for use in space, such as a ball for astronauts to play catch with.

4. How does air resistance impact the 2D kinematics of an astronaut ballplayer?

In a zero gravity environment, air resistance would not have the same effect on an astronaut ballplayer as it would on Earth. Without gravity, there would be no downward force acting on the player, so air resistance would not slow down their movements as much. However, it could still affect the horizontal motion of a ball being thrown or hit by the player.

5. What factors can affect the 2D kinematics of an astronaut ballplayer?

Aside from air resistance and lack of gravity, factors such as the mass and velocity of the player and the object being thrown can also impact their 2D kinematics. Additionally, the player's body position and technique can also play a role in their movements and the resulting trajectory of the object they are interacting with.

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