A car travelling at 32 m/s decelerates at a rate of 6 m/s ^ 2 over 4 secondsWhat is the final velocity the car

Respuesta :

Answer:

v=8m/s

Explanation

The initial velocity, u, of the car=32m/s

Since the car has decelerated, we negate the acceleration

This implies that,

[tex]a=-6m{s}^{ -2} [/tex]

Time,t=4s

Let v be the final velocity,

using the relation,

[tex]a = \frac{v - u}{t} [/tex]

We obtain the below by substitution

[tex] - 6= \frac{v - 32}{4} [/tex]

By cross multiplying we obtain,

[tex] - 6 \times 4 = v - 32[/tex]

[tex] - 24=v-32[/tex]

[tex] - 24+32=v [/tex]

v=8m/s

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