Question

car travelling at 20 km/hr speeds up to 60 km/hr in 6 seconds. What is its acceleration?     ​

Answer 1

Answer:

Acceleration, a = 1.85 m/s2

Explanation:

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Answer 2

GIVEN :-

• Initial velocity of car = 20 km/hr
• Final velocity of car = 60 km/hr
• Time = 6 sec

TO FIND :-

• Acceleration the given car

SOLUTION :-

We have ,

• u = 20 km/hr
• v = 60km/hr

$\bf \: \implies \: 20 \: km. {hr}^{ - 1} = \frac{5}{18} \times 20 \: m {s}^{ - 1} \\ \\ \implies \bf \: 20km. {hr}^{ - 1} = 5.5 \: m {s}^{ - 1} = u$

Also,

$\implies \bf \: 60 \: km. {hr}^{ - 1} = \frac{5}{18} \times 60 \: m {s}^{ - 1} \\ \\ \implies \bf \: 60 \: km. {hr}^{ - 1} = 16.6 \: m {s}^{ - 1}$

Acceleration When change velocity is given is given by ,

$\large {\underline{\boxed {\red{ \bf{a= \frac{v - u}{t} }}}}}$

Where ,

• a is acceleration
• v is final velocity
• u is initial velocity
• t is time

We have ,

• V = 16.6 m/s
• u = 5.5 m/s
• t = 6 sec

$\implies \bf \: a = \frac{16.6 - 5.5}{6} \\ \\ \implies \bf \: a = \frac{11.4}{6} \\ \\ \implies {\underline {\boxed {\blue {\bf {\: a = 1.9 \: m {s}^{ - 2}}}}}}$

∴ The acceleration of the given body is 1.9 m/s²

ADDITIONAL INFO :-

★ Acceleration is a vector quantity hence it has both magnitude and direction.

★ The units of acceleration are m/s² and cm/s²

★ Acceleration has a dimensional formula of [ L T⁻² ]