Problem 1. In deriving braking distance, we assume a constant acceleration/deceleration rate, a. In fact, AASHTO assumes constant acceleration a(t) = = c (constant) in most of its design procedures. Although this is not entirely true, distances required for acceleration or deceleration can be realistic if appropriate values are chosen for the constant acceleration process. Linear acceleration a(t) = c₁ t (t is time elapse and c₁ is jerk rate or rate of change) is a better approximation to the acceleration process. ' a) What is the practical stopping distance for a vehicle with initial speed 70 mph, if acceleration is described by a linear function of time using a (t) = -1.8t (t is time elapse in seconds). b) Use a constant acceleration rate to achieve the same stopping distance. What is this constant acceleration rate?

Structural Analysis
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Chapter2: Loads On Structures
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Problem 1. In deriving braking distance, we assume a constant acceleration/deceleration rate, a.
In fact, AASHTO assumes constant acceleration a(t) = c (constant) in most of its design
procedures. Although this is not entirely true, distances required for acceleration or deceleration
can be realistic if appropriate values are chosen for the constant acceleration process. Linear
acceleration a(t) = c₁ ⋅ t (t is time elapse and c₁ is jerk rate or rate of change) is a better
approximation to the acceleration process.
a) What is the practical stopping distance for a vehicle with initial speed 70 mph, if acceleration
is described by a linear function of time using a(t) = -1.8t (t is time elapse in seconds).
b) Use a constant acceleration rate to achieve the same stopping distance. What is this constant
acceleration rate?
Transcribed Image Text:Problem 1. In deriving braking distance, we assume a constant acceleration/deceleration rate, a. In fact, AASHTO assumes constant acceleration a(t) = c (constant) in most of its design procedures. Although this is not entirely true, distances required for acceleration or deceleration can be realistic if appropriate values are chosen for the constant acceleration process. Linear acceleration a(t) = c₁ ⋅ t (t is time elapse and c₁ is jerk rate or rate of change) is a better approximation to the acceleration process. a) What is the practical stopping distance for a vehicle with initial speed 70 mph, if acceleration is described by a linear function of time using a(t) = -1.8t (t is time elapse in seconds). b) Use a constant acceleration rate to achieve the same stopping distance. What is this constant acceleration rate?
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