A fox is traveling at a velocity of 2.7 m/s. 3.5 seconds later it is traveling at a velocity of 4.8 m/s. What is the acceleration of the fox? A. 0.6 m/s² B. 0.75 m/s² C. 0.9 m/s² D. 1.75 m/s²

Respuesta :


[tex]a = \frac{v}{t} [/tex]
v1=2.7 m/s
v2=4.8 m/s
t=3.5 secs
Then:
a=v2-v1/t
a=4.8-2.7/3.5
a=0.6 m/s²

Acceleration is rate of change of velocity with respect to change in time. The acceleration of the considered fox is given by: Option A. 0.6 m/s²

How to find the acceleration of an object?

If the object has constant acceleration, then it is calculated as:

[tex]a = \dfrac{\delta v}{\delta t} \: \rm \text{unit distance}/\text{unit time}^2[/tex]

where [tex]\delta t[/tex] = change in time and  [tex]\delta v[/tex] = change in corresponding velocity of that object in consideration.

Thus, for the given case, as it is specified that:

  • Initial velocity of the fox = 2.7 m/s
  • Final velocity of the fox after 3.5 seconds = 4.8 m/s

Thus, we get [tex]\delta t[/tex] = time interval's length =  3.5 seconds,

and  [tex]\delta v[/tex] =4.8 - 2.7 = 2.1 m/s

Thus, acceleration of fox is calculated as:

[tex]a = \dfrac{\delta v}{\delta t} = \dfrac{2.1}{3.5} = 0.6 \: \rm m/s^2[/tex]

Thus, the acceleration of the considered fox is given by: Option A. 0.6 m/s²


Learn more about acceleration here:

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