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 5t = 0.5t².