Question

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

Answer 1

goooooooaaaaalllll , C 2.5 meters

Answer 2

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

B is correct.

Step-by-step explanation:

Given that,

Velocity v = 4.0 m/s

Angle
`\theta = 60^(\circ)`

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

`v_(x)= v\ cos\theta`

`v_(y)= v\ sin\theta`

The possible value of
`v_(x)` will be

`v_(x)= v\ cos\theta`

`v_(x)=4*\ cos60^(\circ)`

`v_(x)=4*(1)/(2)`

`v_(x)=2\ m/s`

The possible value of
`v_(x)` 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.