3. A science project studying catapults sent a projectile into the air with an initial velocity of 30 m/s. The formula for distance (s) in meters with respect to time in seconds is s = -4.9t² + 30t. Find the instantaneous rate of change (and thus the velocity at any time) f(a+h)-f(a) and then find the using lim h instantaneous rate of change at: a. t = 1

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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3. A science project studying catapults sent a
projectile into the air with an initial velocity of
30 m/s. The formula for distance (s) in
meters with respect to time in seconds is
s = -4.9t² + 30t. Find the instantaneous rate
of change (and thus the velocity at any time)
f(a+h)-f(a) and then find the
using lim
h
instantaneous rate of change at:
a. t = 1
Transcribed Image Text:3. A science project studying catapults sent a projectile into the air with an initial velocity of 30 m/s. The formula for distance (s) in meters with respect to time in seconds is s = -4.9t² + 30t. Find the instantaneous rate of change (and thus the velocity at any time) f(a+h)-f(a) and then find the using lim h instantaneous rate of change at: a. t = 1
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