A jogger runs in a straight line with an average velocity of 5.4 m/s for 2.3 min, and then with an average velocity of 5.7 m/s for 1.2 min.
What is her total displacement? Answer in units of m.
5.4 * 2.3 * 60 + 5.7 * 1.2 * 60
To find the total displacement, we need to calculate the individual displacements for each leg of the jogger's run and then add them together.
First, let's find the displacement for the first leg of the run. The jogger runs with an average velocity of 5.4 m/s for 2.3 minutes. To find the displacement, we can use the formula:
displacement = velocity * time
So, the displacement for the first leg is:
displacement1 = 5.4 m/s * (2.3 min * 60 s/min)
displacement1 = 5.4 m/s * 138 s
displacement1 = 745.2 m
Next, let's find the displacement for the second leg of the run. The jogger runs with an average velocity of 5.7 m/s for 1.2 minutes. Again, using the formula for displacement:
displacement2 = 5.7 m/s * (1.2 min * 60 s/min)
displacement2 = 5.7 m/s * 72 s
displacement2 = 410.4 m
Finally, we can find the total displacement by adding the individual displacements together:
total displacement = displacement1 + displacement2
total displacement = 745.2 m + 410.4 m
total displacement = 1155.6 m
Therefore, the jogger's total displacement is 1155.6 m.