Question

A MOTOR BOAT STARTING FROM A LAKE ACCELARATES IN A STRAIGHT LINE AT A CONSTANT RATE OF 3.0 S-2 FOR 8.0 S HOW FAR DOES THE BOAT TRAVEL FOR THIS TIME

Answer 1

Answer:

96 metres

Explanation:

Given :

• Initial velocity = u = 0 m/s

• Acceleration = a = 3 m/s²

• Time taken = t = 8 seconds

To find :

• Distance travelled by the motor boat with the above information

Using the second equation of motion :

S=ut+½×at²

S=0×8+½×3×8²

S=0+½×3×64

S=0+32×3

S=0+96

S=96 metres

The distance travelled by the motor boat in 8 seconds with an acceleration of 3 m/s² is equal to 96 metres

Answer 2

✯✯ QUESTION ✯✯

A motorboat starting from a lake accelerates in a straight line at a constant rate of 3.0 for 8 sec.How far does the boar travel for this time?

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✰✰ ANSWER ✰✰

$\implies\tt{Initial\:Velocity(u)=0m/s}$

$\implies\tt{Acceleration(a)={3m/s}^{2}}$

$\implies\tt{Time\:Taken(t)=8\:sec}$

$\implies\tt{Distance\:travelled(s)=?}$

➥Using 2nd Equation : -

$\implies\tt{\small{\boxed{\bold{\bold{\pink{\sf{s=ut+\dfrac{1}{2}{at}^{2}}}}}}}}$

➥Putting Values : -

$\implies\tt{s=0\times{8}+\dfrac{1}{2}\times{3}\times{8}\times{8}}$

$\implies\tt{s=0+\dfrac{192}{2}}$

$\implies\tt{s=\cancel\dfrac{192}{2}}$

$\red\longmapsto\:\large\underline{\boxed{\bf\green{s}\orange{=}\purple{96m}}}$

☛So , The distance travelled by motorboat is 96m.