The position x, in meters, of an object is given by the equation:
x = A + Bt + Ct^2,
where t represents time in seconds.
1. What are the SI units of A, B, and C?
A. m, s, s
B. m, m/s, m/s^2
C. m, m, m
D. m/s, m/s^2, m/s^3
E. m, s, s^2

Respuesta :

Answer:

The SI units of A, B and C are :

[tex]m,\ m/s\ and\ m/s^2[/tex]                  

Explanation:

The position x, in meters, of an object is given by the equation:

[tex]x=A+Bt+Ct^2[/tex]

Where

t is time in seconds

We know that the unit of x is meters, such that the units of A, Bt and [tex]Ct^2[/tex] must be meters. So,

  • [tex]A=m[/tex]
  • [tex]bt=m[/tex]

[tex]b=\dfrac{m}{s}=m/s[/tex]

  • [tex]Ct^2=m[/tex]

[tex]C=m/s^2[/tex]

So, the SI units of A, B and C are :

[tex]m,\ m/s\ and\ m/s^2[/tex]

So, the correct option is (B).

The SI units of A, B, and C is option B [tex]m, m/s, m/s^2[/tex]

  • The calculation is as follows;

The position x, in meters, of an object is provided by the equation:

[tex]x = A + Bt + Ct^2[/tex]

Here

t should be t in seconds

As We know that the unit of x should be in meters, in such a way that the units of A, Bt and  must be meters.

So,

A = m

bt = m

[tex]b = m\div s = m/s\\\\ Ct^2 = m\\\\ C = m/s^2[/tex]

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