golf ball is hit from the ground (elevation is zero) and takes off with a launch speed of 55 m/s and a launch angle of 25 degrees. The acceleration due to gravity g = 9.81 m/s2 downward (negative y direction). The wind resistance is proportional to velocity and is defined by constant k = 0.014 N / (m/s). The mass of the golf ball m = 46 grams. 1) Determine the horizontal x1(t) and vertical y1(t) positions as a function of time ignoring air / wind resistance in both the x and y directions. 2) Determine the horizontal x2(t) and vertical y2(t) positions as a function of time including air / wind resistance in both the x and y directions. 3) For the case ignoring wind / air resistance, calculate how long the ball is in the air (in seconds) and how far away the ball lands from where it was hit (in meters).
Gravitational force
In nature, every object is attracted by every other object. This phenomenon is called gravity. The force associated with gravity is called gravitational force. The gravitational force is the weakest force that exists in nature. The gravitational force is always attractive.
Acceleration Due to Gravity
In fundamental physics, gravity or gravitational force is the universal attractive force acting between all the matters that exist or exhibit. It is the weakest known force. Therefore no internal changes in an object occurs due to this force. On the other hand, it has control over the trajectories of bodies in the solar system and in the universe due to its vast scope and universal action. The free fall of objects on Earth and the motions of celestial bodies, according to Newton, are both determined by the same force. It was Newton who put forward that the moon is held by a strong attractive force exerted by the Earth which makes it revolve in a straight line. He was sure that this force is similar to the downward force which Earth exerts on all the objects on it.
A golf ball is hit from the ground (elevation is zero) and takes off with a launch speed of 55 m/s and a launch angle of 25 degrees. The acceleration due to gravity g = 9.81 m/s2 downward (negative y direction). The wind resistance is proportional to velocity and is defined by constant k = 0.014 N / (m/s). The mass of the golf ball m = 46 grams.
1) Determine the horizontal x1(t) and vertical y1(t) positions as a function of time ignoring air / wind resistance in both the x and y directions.
2) Determine the horizontal x2(t) and vertical y2(t) positions as a function of time including air / wind resistance in both the x and y directions.
3) For the case ignoring wind / air resistance, calculate how long the ball is in the air (in seconds) and how far away the ball lands from where it was hit (in meters).
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