A particle travels along a straight line with a velocity,
v=(6t-3t^(2))[(m)/(s)]
, where
t
is in seconds. The initial conditions are
s=0
at
t=0
. (a) At
t=3s
, compute the acceleration and position. Solution:
a=-12(m)/(s^(2)),x=0
(b) What is the total distance traveled during the
3-s
interval? Solution:
S_(TOT)=8m
(c) What is the average speed over the 3-s interval? Solution:
(V_(SP))_(AVG)=2.67(m)/(s)

Question

A particle travels along a straight line with a velocity,

v=(6t-3t^(2))[(m)/(s)]

, where

t

is in seconds. The initial conditions are

s=0

at

t=0

. (a) At

t=3s

, compute the acceleration and position. Solution:

a=-12(m)/(s^(2)),x=0

(b) What is the total distance traveled during the

3-s

interval? Solution:

S_(TOT)=8m

(c) What is the average speed over the 3-s interval? Solution:

(V_(SP))_(AVG)=2.67(m)/(s)

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(Solved): A particle travels along a straight line with a velocity, v=(6t-3t^(2))[(m)/(s)], where t is in seco ...