### Home > PC > Chapter 11 > Lesson 11.1.1 > Problem 11-14

11-14.

Mike has two toy boats. The first travels at a constant rate of 10 ft/sec. The second accelerates so that it has a rate of

*t*ft/sec. Homework Help ✎Sketch speed vs. time graphs for each boat.

How far has each boat traveled after 5 seconds?

How far will they have traveled after

*t*seconds?When will the second boat pass the first?

Put time on the *x*-axis and speed (or rate) on the *y*-axis.

Distance = (rate)(time), or using your graph

it is the area under the curve.

First boat: *d* = 5(*t*)

Second boat: *d* = 0.5(*t*)(*t*)

When 5*t* = 0.5*t*².