certain vehicle can accelerate from a standing start to a speed of v(t) = −0.27t2 + 14t feet per second after t seconds (for 0 ≤ t < 30). (a) Find a formula for the distance that it will travel from its starting point in the first t seconds. [Hint: Integrate velocity to find distance, and then use the fact that distance is 0 at time t = 0.] D(t) = (b) Use the formula that you found
certain vehicle can accelerate from a standing start to a speed of v(t) = −0.27t2 + 14t feet per second after t seconds (for 0 ≤ t < 30). (a) Find a formula for the distance that it will travel from its starting point in the first t seconds. [Hint: Integrate velocity to find distance, and then use the fact that distance is 0 at time t = 0.] D(t) = (b) Use the formula that you found
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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A certain vehicle can accelerate from a standing start to a speed of
v(t) = −0.27t2 + 14t
feet per second after t seconds (for
0 ≤ t < 30).
(a)
Find a formula for the distance that it will travel from its starting point in the first t seconds. [Hint: Integrate velocity to find distance, and then use the fact that distance is 0 at time
t = 0.]
D(t) =
(b)
Use the formula that you found in part (a) to find the distance (in ft) that the car will travel in the first 10 seconds. (Round your answer to the nearest whole number.)
D(10) = ft
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