(b) Suppose instead that the true speed of the car as a function of time is described by v(t) = 30√t (still from t = 0 to t = 4). Sketch a graph of the car's speed vs. time.
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- If there were no air resistance, a penny dropped from the top of a skyscraper would reach the ground 8.65 s later. To the nearest integer, what would the penny’s speed in m/s be right as it reaches the ground if it was dropped from rest?A drag car starts from rest and accelerates at a rate of 10.0-m/s2 for a distance of 400-m (~1/4 mile). (a) How long did it take the car to travel this distance? (b) What is the speed of the car at the 400-m mark?An article explains that the locomotion of different-sized animals can be compared when they have the same Froude number, defined as F = gl velocity, g is the acceleration due to gravity (9.81 m/sec2) and I is the animal's leg length. (a) Different animals change from a trot to a gallop at the same Froude number, roughly 2.56. Find the velocity at which this change occurs for an animal with a leg length of 1.12 m. (b) Ancient footprints of a dinosaur are roughly 1.4 m in diameter, corresponding to a leg length of roughly 5.6 m. By comparing the stride divided by the leg length with that of various modern creatures, it can be determined that the Froude number for this dinosaur is roughly 0.025. How fast was the dinosaur traveling? (a) The velocity at which this animal changes change from a trot to a gallop is (Round to the nearest tenth as needed.) where v is the animal's (...) m/sec.
- A student drops an object out the window of the top floor of a high-rise dormitory. (a) Neglecting air resistance, how fast is the object traveling when it strikes the ground at the end of 3.9 s? First used standard British units and then express the speed in mi/h for a familiar comparison. (ft/s and mi/h) (b) How far, in meters, does the object fall during the 3.9 s? Comment on how many floors the dormitory probably has. (Assume that there are 32 floors/100 m.)1) A race car travels around a circular race track for which the start line and finish line are at the same location. If the race is 888km long and the radius of the track is 1.414km, how many times did the car go around the track? The race takes 2 hours and 45 minutes, what is the race car’s average velocity (in m/s) over the entire race? What is the race car’s average speed (in m/s) over the entire race?A family drives on a trip to visit their relatives. On the first day they travel 550 miles with an average speed of 50 mi/hr, on the second day 420 miles with an average speed of 35 mi/hr and on the third day 585 miles with an average speed of 45 mi/hr. a) What is the total driving time? b) What is the average speed for the trip?
- The record for a marathon is two hours, six minutes, 21 seconds. The marathon distance is 41.72 km. determine the average speed in m/s of a runner achieving this record.A car is traveling back and forth. Its velocity (in feet per second) after t seconds is given by v(t) = 9−3t.Determine the position of the car after four seconds if s(0) = 0 (where s(t) is the position functionfor the car).a)Find the total distance the car traveled from t = 0 to t = 4A driving instructor reports that crashing a car at 30 mi/hmi/h is equivalent to dropping the car from a height of just over 40 feet. Calculate the drop height corresponding to the crash. Express your answer using two significant figures.