Question: Can someone please do this question part a, b, c with clear answer and matlab? Thank you This question is based on the Rocket Experiment,

 Can someone please do this question part a, b, c with

Can someone please do this question part a, b, c with clear answer and matlab?

Thank you

This question is based on the Rocket Experiment, Case Study A. In the experiment, we collected the following data for the horizontal position, X(T), and vertical position, Y(T), as functions of time, T. Table 3: Example data collected from the rocket experiment. We derived an ideal model that neglected air resistance. The solution to the vertical motion without air resistance is Y(T)=21gT2+v0sin(0)T, where g is the acceleration due to gravity (measured in pixels s2!),v0 is the initial speed, and 0 is the launch angle. (a) Suppose we know that the launch angle is 0=0.66 rad, and initial speed is v0=200. Use MATLAB, and the command Isqcurvefit, to find the value of the parameter g that best fits the data in Table 3. Plot the model trajectory (Equation (1)) versus the data for Y(T) from Table 3. Incorporating the effects of gravity and air resistance, the modified model for the rocket motion consists of the two ordinary differential equations, mdT2d2XmdT2d2Y=cdTdX=mgcdTdY The model parameters include the rocket mass (m), the acceleration due to gravity (g), and a positive constant associated with air resistance (c). (b) Write down the dimensions of m,X, and T. Using the model for horizontal motion, Equation (2a), determine the dimension of the constant, c. (c) Introduce the new dimensionless variables y=Y,t=T, where and are scaling constants with the same dimension as Y and T, respectively. Show that we can write the vertical motion model, Equation (2b), in the dimensionless form t22y=1dtdy, Express the scaling constants and corresponding to Equation (4) in terms of the model parameters m,c, and g

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