*Assume that the effects of air resistance are neglected *vectors are in bold *p

Question

*Assume that the effects of air resistance are neglected

*vectors are in bold

*please leave all answers in terms of fractions in simplest form.

A special rocket is being tested by researchers to determine if it can be sold to coustomers. Assume this rocket moves into two dimensions (x,y), where the acceleration in the +x direction is ax (to increasing x) and the acceleration in the -y direction is g (downward). Assume the positive y direction is up and the accelerations g and ax are both constant. Assume the inital velocity is straight up in the y direction, or V0 = V0j and the inital positions x0 and y0 are both zero. your answers should be expressed by these variables.

a. Write down the six equations (three for both x and y directions)

b. Derive an equation for y as a function of x [y(x)] for this rocket problem.

c. At what value of x does the rocket reach its maximum height (xmax)?

d. what is the rocket's maximum height (ymax)?

e. sketch the function y(x) which will give an indicator as to the shape of the trajectory of the rocket in flight.

Explanation / Answer

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