Respuesta :
Answer:
[tex]0.2 m/s^{2}[/tex]
Explanation:
Acceleration is given by dividing change in speed by time taken. The change in velocity is given by subtracting the initial speed from the final speed. In this case, the initial speed is given as 2 m/s while final speed is 8m/s hence the change in speed will be 8 m/s-2 m/s= 6 m/s
Time is half a minute which is equivalent to 0.5*60=30 seconds
Therefore, acceleration will be 6/30=0.2 m/s2
The acceleration of the boat with an initial velocity of 2m/s and final velocity of 8m/s is 0.2m/s².
HOW TO CALCULATE ACCELERATION:
- The acceleration of a body can be calculated using the following formula:
- V = u + at
Where;
- V = final velocity (m/s)
- u = initial velocity (m/s)
- a = acceleration (m/s²)
- t = time (s)
- According to this question, a boat has a speed of 2 m/s. It accelerates for half a minute to reach a speed of 8 m/s. The acceleration can be calculated as follows:
8 = 2 + (a × 30)
8 = 2 + 30a
6 = 30a
a = 6 ÷ 30
a = 0.2m/s²
- Therefore, the acceleration of the boat with an initial velocity of 2m/s and final velocity of 8m/s is 0.2m/s².
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