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The position of a particle moving along the x axis depends on the time according

ID: 2125024 • Letter: T

Question

The position of a particle moving along the x axis depends on the time according to the equation x = ct2 - bt3, where x is in meters and t in seconds.style="font-family: verdana, helvetica, sans-serif; font-size: 13px; line-height: 20px;">style="font-family: verdana, helvetica, sans-serif; font-size: 13px; line-height: 20px;">style="font-family: verdana, helvetica, sans-serif; font-size: 13px; line-height: 20px;">style="font-family: verdana, helvetica, sans-serif; font-size: 13px; line-height: 20px;">style="font-family: verdana, helvetica, sans-serif; font-size: 13px; line-height: 20px;">style="font-family: verdana, helvetica, sans-serif; line-height: 20px;">style="font-family: verdana, helvetica, sans-serif; font-size: 13px; line-height: 20px;">style="font-family: verdana, helvetica, sans-serif; font-size: 13px; line-height: 20px;">style="font-family: verdana, helvetica, sans-serif; line-height: 20px;">style="font-family: verdana, helvetica, sans-serif; font-size: 13px; line-height: 20px;">style="font-family: verdana, helvetica, sans-serif; font-size: 13px; line-height: 20px;">style="font-family: verdana, helvetica, sans-serif; font-size: 13px; line-height: 20px;">style="font-family: verdana, helvetica, sans-serif; font-size: 13px; line-height: 20px;">style="font-family: verdana, helvetica, sans-serif; font-size: 13px; line-height: 20px;">style="font-family: verdana, helvetica, sans-serif; font-size: 13px; line-height: 20px;">

The position of a particle moving along the x axis depends on the time according to the equation x = ct2 - bt3, where x is in meters and t in seconds. What are the units of constant c?

Explanation / Answer

a.) c = m/sec^2

g.) v = dx/dt = 2ct - 3bt^2

v at t = 2

= 4c - 12b

h.) t = 3, v = 6c - 27b

i.) t = 4, v = 8c - 48b

j.) a = dv/dt = 2c - 6bt

a at t= 1

a = 2c - 6b

k.) at t= 2

a = 2c - 12b

l.) at t= 3

a = 2c - 18b

m.) at t= 4

a = 2c - 24b

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