The position of a particle moving along the x axis may be determined from the ex

Question

The position of a particle moving along the x axis may be determined from the expression x(t) = bt^u + ct^v, where x will be in meters when t is in seconds. What will be the dimensions of b and c in this case if u = 7 and v = 20? (Use the following as necessary: L for length and T for time.) The position of a particle moving along the x axis may be determined from the expression x(t) = bt^u + ct^v, where x will be in meters when t is in seconds. What will be the dimensions of b and c in this case if u = 7 and v = 20? (Use the following as necessary: L for length and T for time.) The position of a particle moving along the x axis may be determined from the expression x(t) = bt^u + ct^v, where x will be in meters when t is in seconds. What will be the dimensions of b and c in this case if u = 7 and v = 20? (Use the following as necessary: L for length and T for time.)

Explanation / Answer

Given that

the equation x=bt^7+Ct^20

now we findd the dimensions of constant b

L=bT^7

constant b=LT^-7

now we find the dimensions of constant C

L=cT^20

constant C=L T^-20

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