A particle’s position r in time t was shown to be: r(t) = (t + sin t) ˆi + (t) ˆj + (2.00 [m]) kˆ.

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A particle’s position r in time t was shown to be:
r(t) = (t + sin t)
ˆi + (t)
ˆj + (2.00 [m]) kˆ.
What is it’s velocity v and acceleration a at t = 5.00 [s]?
A. v = (1.00 [m/s])ˆj,
a = (0.0871 [m/s
2
])ˆi
B. v = (1.28 [m/s])ˆi+(1.00 [m/s])ˆj,
a = (0.959 [m/s
2
])ˆi
C. v = (2.00 [m/s])ˆi−(0.09 [m/s])ˆj,
a = (−0.959 [m/s
2
])ˆi
D. v = (0.72 [m/s])ˆi+(1.00 [m/s])ˆj,
a = (−0.959 [m/s
2
])ˆi

Where are you? A particle's position r in time t was shown to be:
r(t) = (t + sin t) i + (t)j+ (2.00 [m]) k.
What is it's velocity v and acceleration a at t = 5.00 (s]?
A. v = (1.00 [m/s]) j,
(0.0871 [m/s²) î
B. v = (1.28 [m/s]) i+(1.00 [m/s])j,
(0.959 [m/s*) i
C. v = (2.00 [m/s]) i-(0.09 [m/s]) j.
a = (-0.959 [m/s²]) i
D. v = (0.72 [m/s]) i+(1.00 [m/s])j,
a = (-0.959 [m/s²]) i
a =
a =
Transcribed Image Text:Where are you? A particle's position r in time t was shown to be: r(t) = (t + sin t) i + (t)j+ (2.00 [m]) k. What is it's velocity v and acceleration a at t = 5.00 (s]? A. v = (1.00 [m/s]) j, (0.0871 [m/s²) î B. v = (1.28 [m/s]) i+(1.00 [m/s])j, (0.959 [m/s*) i C. v = (2.00 [m/s]) i-(0.09 [m/s]) j. a = (-0.959 [m/s²]) i D. v = (0.72 [m/s]) i+(1.00 [m/s])j, a = (-0.959 [m/s²]) i a = a =
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