Determine the maximum acceleration of the vehicle. The driver of a vehicle on a level road determined that she could increase her speed from rest to 50 mi/h in 12.8 sec and from rest to 65 mi/hr in 19.8 sec. If it can be assumed that the acceleration of the vehicle takes the form below:
What will be an ideal response?
First, convert miles/hour to feet/second.
50 mi/h = 73.33 ft/sec
65 mi/h = 95.33 ft/sec
Next, use Equation 3.11 to develop the equation for each case as follows:
The above equation can be solved by assuming a value for B, evaluating the lefthand
side of the equation, and comparing the result to 0.3 as follows.
As can be seen, the solution is:
Substituting into Equation 3 gives:
Since the maximum acceleration is achieved when the velocity of the vehicle is 0,
the value for ? determined above is the maximum acceleration.
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