a bobsled moving at 32 m/s decelerates to 22 m/s at a rate of 4.8 m/s2. determine the distance traveled by the bobsled during this time
PLEASE SHOW YOUR WORK

Respuesta :

Answer:

The vehicle travels 56.25 metres in the interval during which body decelerates .

Explanation:

  • Initial velocity of vehicle, u = 32 m/s
  • Final velocity of vehicle, v = 22 m/s
  • Rate of acceleration, a = - 4.8 m/[tex]s^{2}[/tex]

Let the distance travelled be s .

We have to determine the distance travelled by the vehicle during this time.

The equation of motion is given by

[tex]v^{2} - u^{2} = 2 \times a \times s[/tex]

[tex](22)^{2} - (32)^{2} = 2 \times (- 4.8) \times (s)[/tex]

[tex]1024 - 484 =9.6 \times (s)[/tex]

s = [tex]\frac{540}{9.6}[/tex]

s = 56.25 metres

The vehicle travels 56.25 metres in the interval during which body decelerates .