Question

Tim is riding a bike at a velocity of 10 m/s north. As he starts to climb a hill, his velocity decreases to 5 m/s north. Is the acceleration positive or negative? Calculate the acceleration if it takes 2 seconds for Tim's velocity to change. please explain good!

Answer 1

Explanation:

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Answer 2

$\bf{\underline{\underline{Given \: :}}}$

$\mathsf{\bigstar\: Initial\: velocity\:(u) = 10\:m/s}$

$\mathsf{\bigstar\: Final\: velocity\:(v) = 5\:m/s}$

$\mathsf{\bigstar\: Time\:taken\:(t) = 2\: s}$

$\bf{\underline{\underline{To\:find\: :}}}$

$\mathsf{\bigstar\: Acceleration\: (a) }$

$\bf{\underline{\underline{Solution\: :}}}$

$\mathsf{We\:know\:that}$

$\fbox{\mathsf{Acceleration = \frac{Final\:Velocity - Initial\:Velocity}{time}}}$

$\mathtt{\implies \: a = \large{\frac{v - u}{t}}}$

$\mathtt{\implies \: a = \large{\frac{5 - 10}{2}}}$

$\mathtt{\implies \: a = \large{\frac{-5}{2}}}$

$\fbox{\Large{\mathtt{\green{\implies \: a = -2.5\:m/s^{2}}}}}$

Therefore, the acceleration is negative 2.5m/s² (towards south)