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gamingisfun
24.09.2019 •
Physics
Acar is driving away from a crosswalk. the formula d = t 2 + 2 t expresses the car's distance from the crosswalk in feet, d , in terms of the number of seconds, t , since the car started moving. suppose t varies from t = 2 to t = 5 . does the car travel at a constant speed over this interval of time? correct what is the car's average speed over this interval of time? 10 incorrect feet per second suppose t varies from t = 1.8 to t = 2.1 . does the car travel at a constant speed over this interval of time? correct what is the car's average speed over this interval of time?
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Ответ:
1) No, the car does not travel at constant speed.
2) V = 9 ft/s
3) No, the car does not travel at constant speed.
4) V = 5.9 ft/s
Explanation:
In order to know if the car is traveling at constant speed we need to derive the given formula. That way we get speed as a function of time:
V(t) = 2*t + 2 Since the speed depends on time, the speed is not constant at any time.
For the average speed we evaluate the formula for t=2 and t=5:
d(2) = 8 ft and d(5) = 35 ft
Again, for the average speed we evaluate the formula for t=1.8 and t=2.1:
d(1.8) = 6.84 ft and d(2.1) = 8.61 ft
Ответ: