1. 40e-2t mi/h². An object traveling with initial velocity v(0) = 50 mi/h begins accelerating with a(t) = (a) Find the velocity function, v(t), of the object. (b) What happens to the object's velocity as time increases? What maximum value does it approach? (c) Assuming that s(0) = 0, find the position of the object half an hour later (whent = 0.5). Round off your final answer to three decimal places.
1. 40e-2t mi/h². An object traveling with initial velocity v(0) = 50 mi/h begins accelerating with a(t) = (a) Find the velocity function, v(t), of the object. (b) What happens to the object's velocity as time increases? What maximum value does it approach? (c) Assuming that s(0) = 0, find the position of the object half an hour later (whent = 0.5). Round off your final answer to three decimal places.
College Physics
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![1.
An object traveling with initial velocity v(0) = 50 mi/h begins accelerating with a(t) =
%3D
40e-2t mi/h².
(a) Find the velocity function, v(t), of the object.
(b) What happens to the object's velocity as time increases? What maximum value does it approach?
(c) Assuming that s(0) = 0, find the position of the object half an hour later (when t = 0.5). Round
off
your
final answer to three decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1d83562b-0b4b-450d-8cb2-125f90b32922%2Fbd0edc49-59e7-41ce-b6e9-75e8a7942c06%2F95d9e_processed.png&w=3840&q=75)
Transcribed Image Text:1.
An object traveling with initial velocity v(0) = 50 mi/h begins accelerating with a(t) =
%3D
40e-2t mi/h².
(a) Find the velocity function, v(t), of the object.
(b) What happens to the object's velocity as time increases? What maximum value does it approach?
(c) Assuming that s(0) = 0, find the position of the object half an hour later (when t = 0.5). Round
off
your
final answer to three decimal places.
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