Q1:

The gure shows the velocity of a car for 0 s t 5 12 and the rectangles used to estimate the distance traveled. (a) Do the rectangles represent a left or a right sum? (b) Do the rectangles lead to an upper or a lower estimate? -Select- $ (c) What is the value of n? n = (d) What is the value of At? At = (e) Which of hte following could be the value of the estimate. I-Select- ' 36.8 73.5 78.0 Roger runs a marathon. His friend Jeff rides behind him on a bicycle and clocks his speed every 15 minutes. Roger starts out strong, but after an hour and a half he is so exhausted that he has to stop. Jeff's data followst 90 0 Timesincestart(min) 0 15 30 45 60 753 Speed(mph) 110 9 8:8 6 5; (a) Assuming that Roger's speed is never increasing, give upper and lower estimates for the distance Roger ran during the first half hour. miles (lower estimate) miles (upper estimate) (b) Give upper and lower estimates for the distance Roger ran in total during the entire hour and a half. miles (lower estimate) miles (upper estimate) (c) How often would Jeff have needed to measure Roger's speed in order to nd lower and upper estimates within 0.1 mile of the actual distance he ran? every minutes Two cars travel in the same direction along a straight road. The figure below shows the velocity, v, of each car at time t. Car B starts 3 hours after car A and car B reaches a maximum velocity of 56 km/hr. 'v (km/hr) Ca, A t (hr) (a) For approximately how long does each car travel? car A hr car B hr (b) Estimate car A's maximum velocity. km/hr (c) Approximately how far does each car travel? car A km car B km