2D Kinematics: astronaut ballplayer

AI Thread Summary
The discussion focuses on solving kinematic problems related to an astronaut throwing a ball. For maximum range, the optimal angle is confirmed to be 45 degrees. The required speed to achieve the maximum range of 14 meters is questioned, with an initial calculation of 14.54 m/s deemed incorrect. The distance the ball can be thrown on a planet with a different gravitational acceleration is calculated, yielding a distance of approximately 9.81 m. The maximum height reached by the ball on this new planet remains unresolved, highlighting a need for clarification on the calculations involved in parts B and D.
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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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