Question

A physics teacher accelerates her bass boat from 8 ms-1 to 11 ms-1 at a rate of 0.5 ms-2.How far does the boat travel?

Answer 1

To find the distance the boat travels, we can use the equation: distance = initial velocity × time + 0.5 × acceleration × time^2. However, we need more information to find the distance.

Step-by-step explanation:

To find the distance the boat travels, we can use the equation: distance = initial velocity × time + 0.5 × acceleration × time2.

Given:

• Initial velocity = 8 m/s
• Final velocity = 11 m/s
• Acceleration = 0.5 m/s2

Let's plug these values into the equation:

Distance = (11 m/s)(time) + 0.5(0.5 m/s2)(time)2

Simplifying, we get:

Distance = 8t + 0.25t2

Since we want to find the distance when the boat's velocity changes from 8 m/s to 11 m/s, we need to solve for time by setting the initial velocity as 8 m/s:

8t + 0.25t2 = Distance

Since we don't have the distance, we cannot directly solve for time. Therefore, we need more information to find the distance.