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A car starts from rest and attains a speed of 50 m/s in 15 second. How far has the car traveled in 15 seconds

Sagot :

Glendzmoralesidn

Answer:

The distance of the car traveled is 375 m.

Explanation:

Formula to be use for Motions Along a Straight Line

[tex]v=v_{0} +at[/tex]          equation 1

[tex]x=v_{0} t + \frac{1}{2} at^2[/tex]     equation 2

where

[tex]v[/tex]     is the final velocity, unit is in m/s

[tex]v_{0}[/tex]    is the initial velocity, unit is in m/s

[tex]x[/tex]     is the distance, unit is in meters (m)

[tex]a[/tex]     is the acceleration, unit is in m/[tex]s^2[/tex]

[tex]t[/tex]      is the time duration of motion, unit is in seconds (s)

For the given information

[tex]v_{0}=0[/tex]     because the car starts from rest

[tex]v=50m/s[/tex]

[tex]t=15s[/tex]

Solving the problem

1. Using equation 1, solve for the acceleration

[tex]v=v_{0} +at[/tex]

50 m/s = 0 + a (15 s)

Divide both sides of the equation by 15 s, we get:

a = [tex]\frac{50 m/s}{15s}[/tex]

a = 3.33 m/[tex]s^2[/tex]

2. Using equation 2, substitute the value of the acceleration then solve for x

[tex]x=v_{0} t + \frac{1}{2} at^2[/tex]

[tex]x =0+\frac{1}{2} (3.33m/s^2)(15s)^2[/tex]

x = 375 m

Therefore, the distance the car has traveled is 375 m within 15 seconds.

To learn more about this topic, just click on the following links:

  • Definition of acceleration

        https://brainly.ph/question/2048479

  • Additional examples

        https://brainly.ph/question/104912

        https://brainly.ph/question/503065

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