a) The <em>approximate</em> reaction distance is 66 feet.
b) The <em>approximate</em> braking distance is 802.304 feet.
c) The <em>total</em> distance is 868.304 feet.
<h3>How to analyzing reaction time in a braking event</h3>
The <em>average</em> <em>reaction</em> time () is 0.75 seconds. Manuel drives at <em>constant</em> velocity in the first 0.75 seconds, then he <em>decelerates</em> the vehicle.
a) The reaction distance (), in meters, is found by the following expression:
(1)
Where is the initial velocity, in feet per hour.
If we know that () and , then the approximate reaction distance is:
The <em>approximate</em> reaction distance is 66 feet.
b) A <em>normal</em> braking has magnitudes of about 0.15 times the value of <em>gravitational</em> acceleration (). The approximate braking distance (), in feet, is found by the following <em>kinematic</em> formula:
(2)
Where:
- - Deceleration rate, in feet per square second.
- - Final velocity, in feet per second.
If we know that and , then the approximate braking distance is:
The <em>approximate</em> braking distance is 802.304 feet.
c) The <em>total</em> distance is the sum of distances found in a) and b). Then, the <em>total</em> distance is 868.304 feet.
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