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Standard XII

Physics

Direction of Instantaneous Velocity

A particle mo...

Question

A particle moves according to the equation $x = 10 t^{2}$ , where $x$ is in meters and $t$ is in seconds. (a) Find the average velocity for the time interval from $2.00 s$ to $3.00 s$ . (b) Find the average velocity for the time interval from $2.00$ to $2.10 s$

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Solution

We substitute for $t$ in $x = 10 t^{2}$ , then use the definition of average velocity.

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A particle moves according to the equation x=10t2, where x is in meters and t is in seconds. (a) Find the average velocity for the time interval from 2.00s to 3.00s. (b) Find the average velocity for the time interval from 2.00 to 2.10s

We substitute for t in x=10t2, then use the definition of average velocity.

A particle moves according to the equation $x = 10 t^{2}$ , where $x$ is in meters and $t$ is in seconds. (a) Find the average velocity for the time interval from $2.00 s$ to $3.00 s$ . (b) Find the average velocity for the time interval from $2.00$ to $2.10 s$

We substitute for $t$ in $x = 10 t^{2}$ , then use the definition of average velocity.