2D Kinematics: astronaut ballplayer

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SUMMARY

The discussion focuses on the kinematics of a ball thrown by an astronaut in a space suit, specifically analyzing maximum range and height. The optimal angle for maximum range is established at 45 degrees. The calculated speed required to achieve this maximum range of 14 meters is incorrectly stated as 14.54 m/s. Additionally, calculations for the distance thrown on a planet with a gravitational acceleration of 18 m/s² yield a range of 9.81 meters, while the maximum height reached on this planet is incorrectly noted as 12 meters.

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dharmank
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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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