Velocity and trajectory length The acceleration of a wayward firework is given by a ( t ) = 2 j + 2 t k , for 0 ≤ t ≤ 3. Suppose the initial velocity of the firework is v (0) = i . a. Find the velocity of the firework, for 0 ≤ t ≤ 3. b. Find the length of the trajectory of the firework over the interval 0 ≤ t ≤ 3.
Velocity and trajectory length The acceleration of a wayward firework is given by a ( t ) = 2 j + 2 t k , for 0 ≤ t ≤ 3. Suppose the initial velocity of the firework is v (0) = i . a. Find the velocity of the firework, for 0 ≤ t ≤ 3. b. Find the length of the trajectory of the firework over the interval 0 ≤ t ≤ 3.
Solution Summary: The author explains that the velocity vector of the fireworks is langle 1,sqrt2j+2tk.
Velocity and trajectory length The acceleration of a wayward firework is given by
a
(
t
)
=
2
j
+
2
t
k
, for 0 ≤ t ≤ 3. Suppose the initial velocity of the firework is v(0) = i.
a. Find the velocity of the firework, for 0 ≤ t ≤ 3.
b. Find the length of the trajectory of the firework over the interval 0 ≤ t ≤ 3.
University Calculus: Early Transcendentals (4th Edition)
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