Starting from rest a scooter acquires a velocity of $36\, km h^{-1}$ in $10 \,s$ and then brakes are applied it takes $20\, s$ to stop. Calculate acceleration and distance travelled.

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$u=36 km h ^{-1}=10 m s ^{-1}$

$u=0$

$t=10 s$

$\therefore \quad a=\frac{v-u}{t}$.

$=\frac{10}{10}=1 ms ^{-2}$

$S=u t+\frac{1}{2} a t^{2}$

$=0+\frac{1}{2} \times 1 \times 400$

$=200 \,m$,

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The following table show os the positon of three persons between $8.00\, am$ to $8.20\, am$.

Time Position (in $km$)  
Person $A$ Person $B$ Person $C$
$8.00 \,am$ $0$ $0$ $0$
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$8.15 \,am$ $20$ $15$ $24$
$8.20\, am$ $25$ $20$ $27$

 $(i)$ Who is moving with constant speed ?

$(ii)$ Who has travelled maximum distance between $8.00\, am$ to $8.05\, am$ ?

$(iii)$ Calculate the average speed of person $'A^{\prime}$ in $k m h^{-1}$