a truck drives up a hill with a 15 incline. if the truck has a constant speed of 22m/s, what are the horizontal and vertical components of the trucks velocity

Respuesta :

Answer:

speed of truck (v) =  22 m/s ,

angle of hill (Θ) =15°

Find

Vertical component (Fv) = ?

Harizontal component (Fh) =?

               Vertical component (Fh) = V cosΘ

                                                        = 22. cos 15

                                                        = 21.25 m/s.

               Harizontal component (Fv) = V sinΘ

                                                            = 22. sin 15

                                                            = 5.69 m/s.

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Lanuel

a. The horizontal component of the truck's velocity is 5.69 m/s.

b. The vertical component of the truck's velocity is 21.25 m/s.

Given the following data:

  • Angle of inclination = 15°
  • Velocity of truck= 22 m/s

To find both the horizontal and vertical components of the truck's velocity:

a. To find the horizontal component of the truck's velocity:

Mathematically, the horizontal component of velocity is given by the formula:

[tex]V_y = Vsin(\theta)\\\\V_y = 22sin(15)\\\\V_y = 22 \times 0.2588[/tex]

Horizontal component, Vy = 5.69 m/s

b. To find the vertical component of the truck's velocity:

Mathematically, the vertical component of velocity is given by the formula:

[tex]V_x = Vcos(\theta)\\\\V_x = 22sin(15)\\\\V_x = 22 \times 0.9659[/tex]

Vertical component, Vx = 21.25 m/s

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