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Kuta Software - Infinite Calculus
Name___________________________________
Motion Along a Line Revisited
Date________________ Period____
A particle moves along a coordinate line
...
For each problem, find
the position function s(t)
...
1) v(t) = 3t 2 − 22t; s(0) = 0
s(t)
v(t)
160
600
120
400
80
200
40
2
4
6
8
10
12
14
16 t
2
−200
−40
−400
−80
−600
−120
4
6
8
10
12
14
16 t
−160
A particle moves along a coordinate line
...
For each problem,
find the position function s(t) and the velocity function v(t)
...
2) a(t) = −12t 2 + 60t; s(0) = 0; v(0) = 0
s(t)
v(t)
4000
a(t)
1000
300
800
250
3000
200
600
150
2000
400
1000
2
−1000
100
200
4
6
8
10
12
14
16 t
50
2
4
6
8
−200
12
14
16 t
2
−50
4
6
8
10
12
14
16 t
−100
−400
−2000
−150
−600
−200
−3000
−4000
10
−800
−250
−1000
−300
©7 4260T1a3M iK0uqtmad kSmoLfVtiwVa8rMeq rLHLZCK
...
b G QMGaMdgeV KwXiNtbh2 RIxnKf9i6nBiUtmes nCtaslVcSuAlTu8sD
...
Its acceleration function is a(t) for t ≥ 0
...
You may use the blank graphs
to sketch s(t), v(t), and a(t)
...
Its acceleration function is a(t) for t ≥ 0
...
You
may use the blank graphs to sketch v(t) and a(t)
...
6 U MALlrl1 YrYijgVhjtmsR Dr5eas5eArNv4e6d6
...
y
-2-
Worksheet by Kuta Software LLC
Kuta Software - Infinite Calculus
Name___________________________________
Motion Along a Line Revisited
Date________________ Period____
A particle moves along a coordinate line
...
For each problem, find
the position function s(t)
...
1) v(t) = 3t 2 − 22t; s(0) = 0
s(t)
v(t)
160
600
120
400
80
200
40
2
4
6
8
10
12
14
16 t
2
−200
−40
−400
−80
−600
−120
4
6
8
10
12
14
16 t
−160
s(t) = t 3 − 11t 2
A particle moves along a coordinate line
...
For each problem,
find the position function s(t) and the velocity function v(t)
...
2) a(t) = −12t 2 + 60t; s(0) = 0; v(0) = 0
s(t)
v(t)
4000
a(t)
1000
300
800
250
3000
200
600
150
2000
400
1000
2
−1000
100
200
4
6
8
10
12
14
16 t
50
2
4
6
8
−200
12
14
16 t
2
−50
4
6
8
10
12
14
16 t
−100
−400
−2000
−150
−600
−200
−3000
−4000
10
−800
−250
−1000
−300
s(t) = −t 4 + 10t 3 , v(t) = −4t 3 + 30t 2
©U d2n0R1z3Z rK0uqtuaq 1S3olfmt8w6abrbem 9L0LUCk
...
i Z ZMhazdceg sw7iVtdhL FIcn1ftiWnwiitkes yCaa6lWcxu3lxuws2
...
Its acceleration function is a(t) for t ≥ 0
...
You may use the blank graphs
to sketch s(t), v(t), and a(t)
...
Its acceleration function is a(t) for t ≥ 0
...
You
may use the blank graphs to sketch v(t) and a(t)
...
Free trial available at KutaSoftware
...
I H WAfltlZ WruiKgYh5tlsP JrTeosBe2rBvZeCdM
...
M
-2-
Worksheet by Kuta Software LLC