The acceleration function (in m/s²) and the initial velocity are given for a particle moving along a line. a(t) = t + 4, v(0) = 7, 0 ≤ t ≤ 10 (a) Find the velocity at time t. v(t) = m/s (b) Find the distance traveled during the given time interval.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.3: Rates Of Change
Problem 29E: Explain the difference between the average rate of change of y as x changes a to b, and the...
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The acceleration function (in m/s²) and the initial velocity are given for a particle moving along a line.
a(t) = t + 4, v(0) = 7, 0 ≤t≤ 10
(a) Find the velocity at time t.
v(t) =
m/s
(b) Find the distance traveled during the given time interval.
Transcribed Image Text:The acceleration function (in m/s²) and the initial velocity are given for a particle moving along a line. a(t) = t + 4, v(0) = 7, 0 ≤t≤ 10 (a) Find the velocity at time t. v(t) = m/s (b) Find the distance traveled during the given time interval.
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