Asked by glenn
the maximum possible speed a certain car can achieve is 80 m/s (about 180 mph) the car covers a distance of 1km while accelerating up to this speed from rest how fast is the car moving at the halfway point of 500m (the answer is not 40m/s) at what point is the car moving at half of its maximum possible speed
Answers
Answered by
Scott
the average speed is 40 m/s
so it takes 25 s to cover the km
the acceleration is 3.2 m/s²
... 80 m/s / 25 s
speed halfway
500 = ½ * 3.2 * t²
... find t and multiply by the acceleration to find the speed
half speed
40 m/s / 3.2 m/s² = 12.5 s
...average speed is 20 m/s
...distance = 20 m/s * 12.5 s
so it takes 25 s to cover the km
the acceleration is 3.2 m/s²
... 80 m/s / 25 s
speed halfway
500 = ½ * 3.2 * t²
... find t and multiply by the acceleration to find the speed
half speed
40 m/s / 3.2 m/s² = 12.5 s
...average speed is 20 m/s
...distance = 20 m/s * 12.5 s
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