Physics, asked by singhayusmati8528, 1 year ago

A motorboat starting from rest on a lake accelerate in a straight line at a constant rate of 3.0m/s for 8.0s.How far does the boat travel during this time?

Answers

Answered by ғɪɴɴвαłσℜ
52

Aɴꜱᴡᴇʀ

➳ Distance travelled by the motor boat is 96 m

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Gɪᴠᴇɴ

✭ Acceleration (a) = 3 m/s²

✭ Initial velocity (u) = 0 m/s

✭ Time (t) = 8 seconds

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Tᴏ ꜰɪɴᴅ

➤ The distance (s) travelled during this time?

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Sᴛᴇᴘꜱ

❍ We can find out answer here with the help of the second law of motion, that is,

 \large \underline{ \boxed{ \sf{}s = ut +  \frac{1}{2}a {t}^{2}  }}

Substituting the given values,

 \large \tt \leadsto{}s = 0 \times 8 +  \frac{1}{ \cancel2}  \times 3 \times   \cancel8 \times 8\\   \\  \tt \large \leadsto{}s =  1 \times 3 \times 4 \times 8 \\  \\  \large \tt  \pink{\leadsto{}s = 96 \: m}

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Answered by Anonymous
12

\Huge{\red{\underline{\textsf{Answer}}}}

\large{\red{\underline{\tt{Given:}}}}

  • initial velocity, u = 0.

  • Acceleration, a = 3ms^-2.

  • Time taken, t = 8s.

\large{\red{\underline{\tt{Solution:}}}}

By using equation of motion–

Distance travelled by the boat,

➟ s = ut + \sf\dfrac{1}{2} at²

➟ 0 × 8 + \sf\dfrac{1}{2} × 3 × (8)²

 \implies\rm 96m

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