1.

a race car accleration on a straight road from rest to a speed of 180kmhin 25s. assuming uniform accleration of the car throughtout,find the distance coveredin this time.

Answer»

Answer:

\sf{The \ <klux>DISTANCE</klux> \ covered \ is \ 625 \ m}

Given:

  • Initial velocity (u)=0...[as car was in rest]

  • Time=25 s

To find:

  • The distance cover by the car in till it's final velocity is 180 km/hr

Solution:

Final velocity (v)=180 km/hr

>> 1 km=1000 m and 1 hr=3600 second

\thereforeFinal velocity (v)=180000/3600=50 m/s

\boxed{\sf{a=\dfrac{v-u}{t}}}

\sf{\therefore{Acceleration =\dfrac{50-0}{25}}}

\therefore Acceleration=2 m/s²

According to the third equation of MOTION.

\boxed{\sf{v^{2}=u^{2}+2as}}

\sf{50^{2}=0^{2}+2(2)(s)}

\sf{\therefore{2500=4\times \ s}}

\sf{\therefore{s=\dfrac{2500}{4}}}

\sf{\therefore{s=625 \ m}}

\sf\purple{\tt{\therefore{The \ distance \ covered \ is \ 625 \ m}}}



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