Question

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?​

Answer 1

Cᴏʀʀᴇᴄᴛ Qᴜᴇsᴛɪᴏɴ :-

A motorboat starting from rest on a lake accelerate in a straight line at a constant rate of 3.0m/s² for 8.0s.How far does the boat travel during this time?

Gɪᴠᴇɴ :-

• Initial velocity (u) = 0 --(At rest)
• Acceleration (a) = 3.0 m/s²
• Time Taken (t) = 8 seconds

ᴛᴏ ғɪɴᴅ :-

• Distance travelled (s)

sᴏʟᴜᴛɪᴏɴ :-

On using 1st equation of motion, we get

➦ s = ut + 1/2at²

s = 0×t + 1/2 × 3 × (8)²

s = 192/2

s = 96

Hence,.

• Distance travelled (s) = 96 m

Answer 2

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Correct Question :-

▪ A motorboat starting from rest on a lake accelerate in a straight line at a constant rate of 3.0m/s² for 8.0s.How far does the boat travel during this time?

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Given:-

• Initial velocity =0m/s

• Acceleration =3m/s²

• Time taken = 8s

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To Find :-

• Distance covered by motorboat.

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Solution :-

By using 2nd equation of motion

$s = ut + \frac{1}{2} at {}^{2} \\ \\ s = 0 \times 8 + \frac{1}{2} \times 3 \times 8 {}^{2} \\ \\ s = \frac{1}{2} \times 3 \times 64 \\ \\ s = 96m$

∴The distance covered by motorboat is 96m.

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Equation of motion are :-

☛ V=u+at

☛ S=ut+1/2 at²

☛ v²=u² +2as