An object travels with velocity v = 4.0 meters/second and it makes an angle of 60.0° with the positive direction of the y-axis. Calculate the possible values of vx.

-3.5 meters/second and +3.5 meters/second


-2.0 meters/second and +2.0 meters/second


-2.5 meters/second and +2.5 meters/second


-3.0 meters/second and +3.0 meters/second

An object travels with velocity v 40 meterssecond and it makes an angle of 600 with the positive direction of the yaxis Calculate the possible values of vx35 me class=

Respuesta :

goooooooaaaaalllll , C 2.5 meters

Answer:

The velocity 2 m/s will be positive along positive direction and it will be negative along negative direction.

B is correct.

Explanation:

Given that,

Velocity v = 4.0 m/s

Angle [tex]\theta = 60^{\circ}[/tex]

An object travels with velocity v = 4.0 meters/second and it makes an angle of 60.0° with the positive direction of the y-axis.

According to figure,

The component of given velocity

[tex]v_{x}= v\ cos\theta[/tex]

[tex]v_{y}= v\ sin\theta[/tex]

The possible value of [tex]v_{x}[/tex] will be

[tex]v_{x}= v\ cos\theta[/tex]

[tex]v_{x}=4\times\ cos60^{\circ}[/tex]

[tex]v_{x}=4\times\dfrac{1}{2}[/tex]

[tex]v_{x}=2\ m/s[/tex]

The possible value of [tex]v_{x}[/tex] will be 2 m/s.

Hence, The velocity 2 m/s will be positive along positive direction and it will be negative along negative direction.