If the vehicle speed, u, is 30 ft/sec at time T0, determine: (a) Distance traveled when the vehicle has accelerated to 45 ft/sec. (b) Time for vehicle to attain the speed of 45 ft/sec. (c) Acceleration after 4 seconds.
The acceleration of a vehicle can be expressed as:
What will be an ideal response?
(a) Determine the distance traveled by the vehicle when accelerated to 45 ft/sec.
First, determine the time it took for the vehicle to accelerate to 45 ft/sec.
Using a rearrangement of Equation 3.10:
Next, determine the distance traveled during this time.
From Equation 3.12:
Therefore, the vehicle traveled 443 feet when accelerating from 30 ft/sec to 45 ft/sec.
(b) Determine the time it takes for the vehicle to attain the speed of 45 ft/sec.
This time was determined in Part (a) of this problem.
Therefore, it took 11.55 seconds for the vehicle to attain the speed of 45 ft/sec.
(c) Determine the acceleration of the vehicle after 4 seconds.
First, determine the velocity of the vehicle after 4 seconds.
From Equation 3.11:
Therefore, the acceleration of the vehicle after 4 seconds is 1.42 ft/sec2
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