Write a MATLAB M file that solves the questions of Position and Velocity of a Free Falling Stone A stone is dropped from the top of a tall building of 200 meters in height, i e , the initial position of the object is 200 meters The two equations used are h(t) gt 2 v 0 t h 0 v(t) gt v 0 where g is the acceleration due to gravity ( 9 81 m s 2 ), h(t) is the position of the object, v(t) is the velocity of the object h 0 is the initial position of the object, v 0 is the initial velocity of the object, t is the time For a free falling object, v 0 is 0 h 0 here is 200 meters Write MATLAB programs to solve the following problems After 2 00 sec of free fall, what is the position of the stone Find the time t end when the stone reaches the ground To calculate the value, you should first figure out the expression for t, when h(t) 0 and v 0 0 h(t) 0 means the stone reaches the ground and the position is zero Plot h(t) and v(t) on the same graph and be sure that you plot them with different line styles and color Note that the t is the X axis vector, which is from 0 to the t end

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Write a MATLAB M-file that solves the questions of Position and Velocity of a Free Falling Stone. A stone is dropped from the top of

Write a MATLAB M-file that solves the questions of Position and Velocity of a Free Falling Stone. A stone is dropped from the top of a tall building of 200 meters in height, i.e., the initial position of the object is 200 meters. The two equations used are

h(t) = gt² + v₀t+ h₀

v(t) = gt + v₀

where g is the acceleration due to gravity (-9.81 m/s²), h(t) is the position of the object, v(t) is the velocity of the object. h₀ is the initial position of the object, v₀ is the initial velocity of the object, t is the time. For a free falling object, v₀ is 0. h₀here is 200 meters.

Write MATLAB programs to solve the following problems.

After 2.00 sec of free fall, what is the position of the stone?
Find the time t_end when the stone reaches the ground. To calculate the value, you should first figure out the expression for t, when h(t) = 0 and v₀ = 0. h(t) = 0 means the stone reaches the ground and the position is zero.
Plot h(t) and v(t) on the same graph and be sure that you plot them with different line-styles and color. Note that the t is the X-axis vector, which is from 0 to the t_end.