Question

A dart is thrown upward with an initial velocity of 66 ft/s at an angle of elevation of 54°. Consider the position of the dart at any time t. Neglect air resistance. (Assume t is in seconds.) Find parametric equations that model the problem situation.

Answer 1

Answer to the question:

Explanation:

α= 54º

V= 66 ft/s

g= 9.8 m/s²

Vx= V * cos(54º) = 38.8 ft/s

Vy= V * sin(54º) = 53.4 ft/s

PARAMETRIC EQUATIONS:

x(t)= Vx * t

y(t)= Vy * t - (g * t²)/2