Question

A car is moving with the acceleration 2 m/s2 from rest find the distance travelled by the car in 10th second

Answer 1

Given:

• Acceleration = a = 2m/
• ${s}^{2}$
• Time = t = 10 sec
• Initial velocity = 0m/s

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Need to find :

• The distance travelled in 10th Second =?

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Solution:

From 2nd Equation of motion, we know,

$s = ut + \dfrac{1}{2} a {t}^{2}$

The total distance travelled in 9 seconds: will be :

$= u \times 9 + \dfrac{1}{2} \times a \times {9}^{2}$

Substitute the values!

$= 0 \times 9 + \dfrac{1}{2} \times 2 \times {9}^{2} m$

$= \dfrac{1}{2} \times 2 \times 81m$

$\boxed{\purple{\bold{ = 81m}}}$

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The total distance travelled in 10 seconds will be:

$= u \times 10 + \dfrac{1}{2} \times \: a \times {10}^{2}$

Substitute the values!

$= 0 \times 10 + \dfrac{1}{2} \times 2 \times {10}^{2} m$

$= {10}^{2} m$

$\boxed{\purple{\bold{ = 100m}}}$

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The distance travelled in 10th Second:

The distance travelled in 10th Second:= Total Distance travelled in 10 seconds - Total Distance travelled in 9 seconds

= 100m - 81m

= $\red{\bold{\large{\boxed {19m}}}}$