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strojnjashka [21]
3 years ago
8

A car moves with a velocity of 54km/h to a velocity of 72lm/h for 5 minutes. determine the distance covered

Physics
1 answer:
e-lub [12.9K]3 years ago
7 0

Answer:

<em>The distance covered is 5250 meters</em>

Explanation:

<u>Motion With Constant Acceleration </u>

It's a type of motion in which the velocity of an object changes uniformly in time.

The change of velocities is given by the following equation :

v_f=v_o+at\qquad\qquad [1]

Where:

a   = acceleration

vo = initial speed

vf  = final speed

t    = time

The distance traveled by the object is given by:

\displaystyle x=v_o.t+\frac{a.t^2}{2}\qquad\qquad [2]

Solving [1] for a:

\displaystyle a=\frac{v_f-v_o}{t}

The car changes its speed from vo=54 Km/h to vf=72 Km/h in t=5 minutes. Let's convert all to meters and seconds.

vo=54 Km/h * 1000/3600 = 15 m/s

vf=72 Km/h * 1000/3600 = 20 m/s

t = 5 min * 60 = 300 s

Now we calculate the acceleration:

\displaystyle a=\frac{20-15}{300}

\displaystyle a=\frac{5}{300}

a=0.0167\ m/s^2

Now for the distance:

\displaystyle x=15*300+\frac{0.0167*300^2}{2}

\displaystyle x=4500+750=5250

x = 5250 m

Note: <u>We have shown only some of the decimals for the acceleration, but we have used all the decimals stored in the calculator to present accurate results.</u>

The distance covered is 5250 meters

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