# A pea leaves a pea shooter at a speed of 5.4 m/s. It makes an angle of +30 degrees with respect to the horizontal. a) calculate the x-component of the pea's initial velocity b) Calculate the...

A pea leaves a pea shooter at a speed of 5.4 m/s. It makes an angle of +30 degrees with respect to the horizontal.

a) calculate the x-component of the pea's initial velocity

b) Calculate the y-component of the pea's initial velocity

c) Write an expression for the pea's velocity, v, using vectors for the x-direction and the y direction.

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### 1 Answer

A pea leaves a pea shooter at a speed of 5.4 m/s. It makes an angle of +30 degrees with respect to the horizontal.

Please refer to the attached image.

a) The x-component of the pea's initial velocity is:

`V_x=(cos30^o)(5.4 m/s)=4.67 m/s` ~~**4.7 m/s**

b) the y-component of the pea's initial velocity is:

`V_y=(sin30^o)(5.4 m/s)` =**2.7 m/s**

c) The expression for the pea's velocity, v, using vectors for the x-direction and the y direction is given by:

`stackrel rarr v=(4.7 m/s)i + (2.7 m/s)j`