An exponential bike ride Tom and Sue took a bike ride, both starting at the same time and position. Tom started riding at 20 mi>hr, and his velocity decreased according to the function v1t2= 20e-2t, for t U 0. Sue started riding at 15 mi>hr, and her velocity decreased according to the function u1t2= 15e-t, for t U 0. a. Find and graph the position functions of Tom and Sue. b. Find the times at which the riders had the same position at the same time. c. Who ultimately took the lead and remained in the lead?
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
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Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
An exponential bike ride Tom and Sue took a bike ride, both starting at the same time and position. Tom started riding at 20 mi>hr, and his velocity decreased according to the function v1t2= 20e-2t, for t U 0. Sue started riding at 15 mi>hr, and her velocity decreased according to the function u1t2= 15e-t, for t U 0.
a. Find and graph the position functions of Tom and Sue.
b. Find the times at which the riders had the same position at the same time.
c. Who ultimately took the lead and remained in the lead?
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