Question

the velocity of car increases from 30 km per hour 90 km per hour in 0.2 minute calculate the acceleration producedthe velocity of car increases from 30 km per hour 90 km per hour in 0.2 minute calculate the acceleration produced​

Answer 1

Answer:

Initial Velocity = 30 km/hr

Final Velocity = 90 km/hr

Change in Velocity (Δv) = (90 - 30) km/hr

Change in Velocity (Δv) = 60 km/hr

Time taken = 0.2 minutes.

Converting minutes to hours, we get:

⇒ 0.2 min ÷ 60 min = 0.003 hrs.

Acceleration = ( Change in Velocity ) / Time

⇒ Acceleration = ( 60 km/hr ) / 0.003 hrs

⇒ Acceleration = 20,000 km/hr²

Such a large value occurs because of the time taken, which is very small.

Answer 2

Question:

• The velocity of car increases from 30 km per hour 90 km per hour in 0.2 minute calculate the acceleration produced.

Answer:

• Acceleration produced by a car (a) is 1.38 m/s².

Step By Step Explanation:

Given that:

• Initial velocity of car (u) = 30 km/h
• Final velocity of car (v) = 90 km/h
• Time taken by car to increase it's velocity (t) = 0.2 min

To Find:

• Acceleration of car (a)?

Solution:

✭ How to solve :

• Here, we have initial velocity of car (u) = 30 km/h = (30 × 5/18) m/s = 8.33 m/s, final velocity of car (v) = 90 km/h = (90 × 5/18) m/s = 25 m/s and time taken by car (t) = 0.2 min = (0.2 × 60) sec = 12 sec. So, we will use first equation of motion to find acceleration of car (a).
• $\pmb{\boxed{\bf{\purple{v = u + at}}}}$
• Where, v denotes final velocity, u denotes initial velocity, a denotes acceleration and t denotes time taken.
• We have, v = 25 m/s, u = 8.33 m/s and t = 12 sec.

❏ Putting all known values :

↦ 25 = 8.33 + a(12)

↦ 25 - 8.33 = 12 × a

↦ 16.67 = 12a

↦ a = $\sf {\cancel{\dfrac{16.67}{12}}}$

➦ $\pmb{\blue{\underline{\boxed{\bf{\pink{a \approx 1.38\:{m/s}^{2}}}}}}}$

∴ Hence, acceleration produced by a car (a) is 1.38 m/s².

❏ Know More :

$\clubsuit$ Three equations of motion :

1. v = u + at ㅤㅤㅤㅤㅤ[Used above]
2. s = ut + ½ at²
3. v² = u² + 2as

$\clubsuit$ Some important definitions :

• Acceleration

Acceleration is the process where velocity changes. Since, velocity is the speed and it has some direction. So, change in velocity is considered as acceleration.

• Initial velocity

Initial velocity is the velocity of the object before the effect of acceleration.

• Final velocity

After the effect of acceleration, velocity of the object changes. The new velocity gained by the object is known as final velocity.

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