Negative acceleration of 0.2 m/s^2 is needed to avoid a speeding ticket.
Negative acceleration occurs when a force causes a body's velocity to decrease. Positive acceleration occurs when the speed of something rises.
The acceleration of a slowing object is in the direction opposite from the velocity. As a result, this item is said to have negative acceleration.
Given:
Initial velocity, u = 110km/h
Final velocity, v = 70km/h
Police radar's effective range, S1 = 0.90km
Radar detector's range, S2 = 1.9km
To find:
Negative acceleration, a = ?
Formula:
v^2 = u^2 + 2aS
Calculation:
a = (v^2 – u^2) / 2(S1 - S2)
a = 70^2 – 110^2/ 2 x (0.9 – 1.9)
a = [(4900 – 12100) / (2 x -1)] / 3600^2
a = 0.2 m/s^2
Result:
0.2m/s^2 negative acceleration is required to avoid a speeding ticket.
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