Calculate velocity using parametric functions if i have the following parametric functions where time is m/s : x = 8 t y = − 5 t 2 + 6 tand i want to find the initial velocity can i do the following: v 2 = 8 2 + 6 2 v 2 = 100 v = 10 m / sis this correct?

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Calculate velocity using parametric functions if i have the following parametric functions where time is m/s :  x  =  8  t    y  =  −  5      t          2        +  6  tand i want to find the initial velocity can i do the following:      v          2        =      8          2        +      6          2              v          2        =  100    v  =  10     m      /    sis this correct?

massetereqe · Accepted Answer

Step 1Yeah you are correct but it is better to do it like this            d      x              d      t        =  8and            d      y              d      t        =  −  10  t  +  6here, the x-component of velocity is constant therefore initially also it will be 8. And the y-component of velocity varies with time, therefore we put   t  =  0 to get initial vertical velocity which comes out to be 6. Now,      v          2        =            (                        d          x                          d          t                    )              2      at  t  =  0  +            (                        d          y                          d          t                    )              2      at  t  =  0which gives magnitude of initial velocity = 10. Now, calculating velocity when there is air friction becomes easy when we follow this approach.

Calculate velocity using parametric functions if i have the following parametric functions where tim

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