10 sin (0.41) 2. A particle moves along the x-axis with velocity given by v(t) for time 0 sts3.5. 2-1+3 The particle is at position x = -5 at time t = 0. (a) Find the acceleration of the particle at time t = 3. (b) Find the position of the particle at time 1 = 3. (c) Evaluate v(t) dt , and evaluate |v(1)| dr. Interpret the meaning of each integral in the context of the problem. (d) A second particle moves along the x-axis with position given by x2(t) = r² – t for 0 5 1 5 3.5. At what time i are the two particles moving with the same velocity?

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10 sin (0.47)
2. A particle moves along the x-axis with velocity given by v(t) -
for time 0 <t< 3.5.
-1+3
The particle is at position x = -5 at time t = 0.
(a) Find the acceleration of the particle at time t = 3.
(b) Find the position of the particle at time t = 3.
(c) Evaluate v(1) dr, and evaluate |v(1)| dt. Interpret the meaning of each integral in the context of
the problem.
(d) A second particle moves along the x-axis with position given by x2(t) = r² – t for 0 si5 3.5. At what
time 1 are the two particles moving with the same velocity?
Transcribed Image Text:10 sin (0.47) 2. A particle moves along the x-axis with velocity given by v(t) - for time 0 <t< 3.5. -1+3 The particle is at position x = -5 at time t = 0. (a) Find the acceleration of the particle at time t = 3. (b) Find the position of the particle at time t = 3. (c) Evaluate v(1) dr, and evaluate |v(1)| dt. Interpret the meaning of each integral in the context of the problem. (d) A second particle moves along the x-axis with position given by x2(t) = r² – t for 0 si5 3.5. At what time 1 are the two particles moving with the same velocity?
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