Question

A roller coaster starts down a hill at 10 m/s. Three seconds later, its speed is 32 m/s. What is the roller coaster’s acceleration?

Answer 1

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Answer 2

Aɴꜱᴡᴇʀ

☞ Acceleration = 7.3 m/s²

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Gɪᴠᴇɴ

➳ Initial velocity = 10 m/s

➳ Final velocity = 32 m/s (we here assume the speed to be the final velocity)

➳ Time = 3 seconds

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Tᴏ ꜰɪɴᴅ

➤ The acceleration of the body?

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Sᴛᴇᴘꜱ

❍ Here we have the initial and the final velocity with the time so the formula that connects them is,

$\large \underline{ \boxed{ \sf{v = u + at}}}$

Substituting the given values,

$\large \tt \leadsto32 = 10 + a \times 3 \\ \\ \large \tt \leadsto32 - 10 = 3a \\ \\ \large \tt \leadsto 22 = 3a \\ \\ \large \tt \leadsto \frac{22}{3} = a \\ \\ \large{ \pink{ \tt{ \leadsto7.3 \: m /{s}^{2} }}}$

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