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A car starting with a velocity of $10\ m/s$ reached an acceleration of $8\ m/s^{2}$ in $4$ seconds. Find the distance travelled by the car.
Given: A car starting with a velocity of $10\ m/s$ reached an acceleration of $8\ m/s^{2}$ in $4$ seconds.
To do: To find the distance travelled by the car.
Solution:
Starting velocity $u=10\ m/s$
Acceleration of car $=8\ m/s^2$
Time $t=4\ seconds$
Distance travelled by the car $s=ut+\frac{1}{2}at^2$
$\Rightarrow s=10\times4+\frac{1}{2}\times8\times( 4)^2$
$\Rightarrow s=40+16$
$\Rightarrow s=56\ m$
Thus, distance travelled by the car is $56\ m$.
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