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

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 $\theta = 60^{\circ}$

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

$v_{x}= v\ cos\theta$

$v_{x}=4\times\ cos60^{\circ}$

$v_{x}=4\times\dfrac{1}{2}$

$v_{x}=2\ m/s$

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.