Question

Starting from stationary motion round paddles in bicycle to attain a velocity of 10m/s in 30s . Calculate the acceleration of the bicycle

Answer 1

✬ Acceleration = 0.3 m/s² ✬

Explanation:

Given:

• A bicycle is in stationary position (u) = 0 m/s
• Bicycle attains a velocity (v) of 10 m/s.
• Time (t) by bicycle is 30 seconds.

To Find:

• What is the acceleration of the bicycle ?

Formula to be used:

• First law of motion
• v = u + at

Solution: Here, we have

• v = 10 m/s , u = 0 m/s , t = 30 seconds.

Put the values on formula.

$\implies{\rm }$ v = u + at

$\implies{\rm }$ 10 = 0 + a $\times$ 30

$\implies{\rm }$ 10 = 0 + 30a

$\implies{\rm }$ 10 = 30a

$\implies{\rm }$ 10/30 = a

$\implies{\rm }$ 0.3 m/s² = a

Hence, the acceleration of the bicycle is 0.3 m/s².

[Another Method]

To find acceleration there is an another formula

★ Acceleration = (v – u/t) ★

$\implies{\rm }$ a = (10 – 0/30) m/s²

$\implies{\rm }$ a = (10/30) m/s²

$\implies{\rm }$ a = 0.3 m/s²

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★ Two other laws of motion ★

➛ s = ut + 1/2at²

➛ v² = u² + 2as

Answer 2

GIVEN:

• Initial Velocity (u) = 0 m/s (Bicycle starting from stationary motion)
• Final velocity (v) = 10 m/s
• Time taken (t) = 30 seconds

TO FIND:

• What is the acceleration of the bicycle ?

SOLUTION:

Let the acceleration of the bicycle be 'a' m/s²

We know that the formula for finding the acceleration of the bicycle is:-

$\bf{\star \: Acceleration = \dfrac{Final \: Velocity - Initial \: Velocity}{Time \: taken} \: \star}$

According to question:-

On putting the given values in the formula, we get

$\rm{\dashrightarrow a = \dfrac{10-0}{30}}$

$\rm{\dashrightarrow a = \cancel\dfrac{10}{30}}$

$\large\bf{\dashrightarrow \star \: a = 0.3 \: m/s^2\: \star}$

❝ Hence, the acceleration of the bicycle is 0.3 m/s² ❞

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✯ Extra Information ✯

➾ Velocity = Displacement/Time

➾ Speed = Distance/Time

➾ Time = Distance/Speed