The value of velocities Vx and Vy is 57.3 mi/hr and 40.1 mi/hr respectively. We can calculate these using trigonometric formulas.
Here, we are given that a motorcycle stunt person is traveling at a speed of 70 mi/hr
⇒ Vi = 70 mi/hr
We need to find the values of Vx and Vy.
We know that-
cos ∅ = Vx/ Vi and sin ∅ = Vy/ Vi
Here, we are given that ∅ = 35°
substituting the known values in the formula we get-
cos 35 = Vx/ 70
Vx = 70 cos 35
Vx = 70 × 0.82
Vx = 57.3 mi/hr
Similarly,
sin 35 = Vy/ 70
Vy = 70 sin 35
Vy = 70 × 0.57
Vy = 40.1 mi/hr
Thus, the value of velocities Vx and Vy is 57.3 mi/hr and 40.1 mi/hr respectively.
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