Question

Two vectors velocities are represented as a= 10m/s and b= 7m/s at 60° and 15° respectively from the positive x axis. the resultant velocity is?​

Answer 1

15.75 m/s 41.7° above the + x-axis

Step-by-step explanation:

Vxa = 10(cos60) = 5

Vya = 10(sin60) = 8.66

Vxb = 7(cos15) = 6.76

Vyb = 7(sin15) = 1.81

∑Vx = 5 + 6.76 = 11.76

∑Vy = 8.66 + 1.81 = 10.47

Resultant Velocity = √11.76²+10.47² ≈ 15.75 m/s

Direction: ∅ = tan⁻¹(10.47/11.76) ≈ 41.7° above the + x-axis