Asked by Lee
A car is capable of accelerating at a rate of 0.65 m/s2. What is the magnitude of the car’s displacement as it accelerates uniformly from a velocity of 83 km/h to 94 km/h?
Answers
Answered by
R_scott
∆v = 94 kph - 83 kph = 11 kph
... 11 kph * 1000 m/km / 3600 s/hr = 3.06 m/s
∆t = 3.06 m/s / 0.65 m/s^2 = 4.7 s
average velocity = (83 kph + 94 kph) / 2 = 88.5 kph
... 88.5 kph * 1000 m/km / 3600 s/hr = 24.6 m/s
displacement = ∆t * average velocity
... 11 kph * 1000 m/km / 3600 s/hr = 3.06 m/s
∆t = 3.06 m/s / 0.65 m/s^2 = 4.7 s
average velocity = (83 kph + 94 kph) / 2 = 88.5 kph
... 88.5 kph * 1000 m/km / 3600 s/hr = 24.6 m/s
displacement = ∆t * average velocity
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