If the distance of a particle from the origin on a line is given by x(t)=3+(x-2)^4, then the number of times the particle reverses its direction is
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2020-06-09 3:36 pm
回答 (1)
2020-06-09 3:45 pm
x(t) = 3 + (t - 2)⁴
so, v(t) => x'(t) = 4(t - 2)³
The velocity is zero when x = 2
For t < 2, v(t) < 0
and for t > 2, v(t) > 0
Hence, for 0 ≤ t < 2, particle goes in negative direction
for t = 2, particle is stationary
for t > 2. particle goes in positive direction
i.e. changes direction once.
:)>
so, v(t) => x'(t) = 4(t - 2)³
The velocity is zero when x = 2
For t < 2, v(t) < 0
and for t > 2, v(t) > 0
Hence, for 0 ≤ t < 2, particle goes in negative direction
for t = 2, particle is stationary
for t > 2. particle goes in positive direction
i.e. changes direction once.
:)>
收錄日期: 2021-04-24 07:53:22
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