Question

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Answer 1

Answer:

here is ur answer

Explanation:

Initial velocity of motorboat, u = 0

Acceleration of motorboat, a=3.0ms-2

Time under consideration, or time taken t = 8.0s

Formula

We know the equation of motion

Distance, s=ut + (1/2)at2 —————-(i)

Substituting the given and known values in equation (i) we get,

s= o (8) + 1/2 (3) (8)2 

= 1/2 (3) (64)                  { 82 = 8 X 8=64}

= 3 (32) 

= 96

Therefore, The distance travel by motorboat = 96 m

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Answer 2

Question :

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

Given :

• Initial velocity, u = 0 m/s (starting from rest)
• Acceleration, a = 3.0 m/s² or 3.0 m/s²
• Time taken, t = 8.0 seconds or 8 seconds

To find :

• Distance travelled by the boat

According to the question,

➞ s = ut + ½ at²

Where,

• a = Acceleration
• s = Distance
• t = Time taken
• u = Initial velocity

➞ Substituting the values,

➞ s = 0 × 8 + ½ × 3 × 8 × 8

➞ s = 0 + 3 × 8 × 4

➞ s = 0 + 96

➞ s = 96

• So, the distance travelled by the boat is 96 meters.

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More formula's :

Newton's first equation of motion :

• v = u + at

Newton's second equation of motion :

• s = ut + ½ at²

Newton's third equation of motion :

• v² = u² + 2as