Please show all work. A projectile is launched from an initial height of 3 feet

Question

Please show all work.

A projectile is launched from an initial height of 3 feet with an initial angle of 45 degrees at an initial velocity of 100 ft/sec. Use WolframAlpha or similar graphing software to generate a parametric plot of the position of the projectile during its flight. Print the graph and attach. Write a function for the speed v of the projectile as a function of time t. Use WolframAlpha to find the area under the curve given by v during the time it is in flight. Print this graph and attach. Explain the significance of the result in part (b).

Explanation / Answer

a) It is a parabola

b) (v_x = 100cos45)

(v_y = 100sin45 t - gt)

(v = sqrt{v_x^2 +v_y^2})

c) This means the x component of velocity is constnt and the y component varies directly as time t

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