A motorbike accelerates from 12 m s⁻¹ to 36 m s⁻¹ in 3 seconds - Junior Cycle Science - Question f - 2018
Question f
A motorbike accelerates from 12 m s⁻¹ to 36 m s⁻¹ in 3 seconds.
Calculate the acceleration of the motorbike.
Worked Solution & Example Answer:A motorbike accelerates from 12 m s⁻¹ to 36 m s⁻¹ in 3 seconds - Junior Cycle Science - Question f - 2018
Calculate the Change in Velocity
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The change in velocity (
( v_2 - v_1 )
) is calculated as follows:
[
\Delta v = v_2 - v_1 = 36 , \text{m s}^{-1} - 12 , \text{m s}^{-1} = 24 , \text{m s}^{-1}
]
Use the Formula for Acceleration
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Acceleration (
( a )
) can be calculated using the formula:
[
a = \frac{\Delta v}{t}
]
where ( t ) is the time taken.
Substituting in the values:
[
a = \frac{24 , \text{m s}^{-1}}{3 , \text{s}} = 8 , \text{m s}^{-2}
]
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