A particle P is launched from point A with the initial conditions shown. If the particle is subjected to aerodynamic drag, compute the range R of the particle and compare this with the case in which aerodynamic drag is neglected. Plot the trajectories of the particle for both cases. Use the values v₀ = 65 m /s, θ = 35°, and k = 4.0 × 10⁻³ m⁻¹. The acceleration due to aerodynamic drag has the form a_D = −kv²t, where k is a positive constant, v is the particle speed, and t is the unit vector associated with the instantaneous velocity v of the particle. The unit vector t has the formwhere v_x and v_y are the instantaneous x- and y-components of particle velocity, respectively.)

Transcribed Image Text:

v,i + v,j Ju? + v, U.