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ID: 2842555 • Letter: Q

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Two cars start from rest at a traffic light and accelerate for several minutes. The figure below shows their velocities as a function of time. Estimate the distances moved by car 1 and car 2 during the first minute. Estimate the time at which the two cars have gone the same distance, Oil leaks out of a tanker at a rate of r = f(t) gallons per minute, where t is in minutes. Write a definite integral expressing the total quantity of oil (in gallons) which leaks out of the tanker in the first four hours. A warehouse charges its customers $5 per day for every 10 cubic feet of space used for storage. The figure records the storage used by one company over a month. How much will the company have to pay? A bicyclist pedals along a straight road with velocity, v, given in the figure below. She starts 2 miles from a lake; positive velocities take her away from the lake and negative velocities take her toward the lake. When is the cyclist farthest from the lake? t = hours Approximately how far away is she at this time? Give a best estimate. (Round your answer to the nearest whole number.) The graphs in the figure below represent the velocity, v, of a particle moving along the x-axis for time 0 le t le 5. The vertical scales of all graphs are the same. A negative velocity corresponds to motion to the left. Identify the graph showing which particle: Has a constant acceleration. Ends up farthest to the left of where it started. Ends up the farthest from its starting point. Experience the greatest initial acceleration. Has the greatest average velocity. Has the greatest average acceleration.

Explanation / Answer

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