Question

A motercar with initial velocity 22 km/h attains velocity 94 km/h in 1/12 hour. If acceleration is uniform then find (i) Value of acceleration of car and (ii) Total distance travelled by car for attaining this velocity.

Your answer


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Answer 1

To Find:-

• Find the acceleration of the car and the distance covered by the car.

Given:-

• A car has an initial velocity of 22 km/h and it attains a velocity of 94km/h in 1/12 hour.

Solution:-

v = u + at

Substituting Values:-

$\tt\implies \: 94 = 22 + \dfrac { a } { 12 }$

$\tt\implies \: a = 94 - 22 = \dfrac { a } { 12 }$

$\tt\implies \: \dfrac { a } { 12 } = 72$

$\tt\implies \: a = 72 \times 12$

$\tt\implies \: a = 864 \: m/ { s }^{ 2 }$

Now

$\tt\implies \: s = ut + \dfrac { 1 } { 2 } \times a \times { t }^{ 2 }$

$\tt\implies \: s = 22 \times \dfrac { 1 } { 12 } + \dfrac { 1 } { 2 } \times 864 \times \dfrac { 1 } { 12 } \times \dfrac { 1 } { 12 }$

$\tt\implies \: s = 8.43 km$