Equation z = ct + d, z is measured in meters and t in seconds; dimensions of D?

In summary, the equation z = ct + d has z measured in meters and t measured in seconds. The dimensions (units) of d are m.
  • #1
William2
12
0

Homework Statement


In the equation z = ct + d, z is measured in meters and t is measured in seconds. What are the dimensions (units) of d?

answer options are...
s/m, m/s, m, s, m*s

Homework Equations


The Attempt at a Solution



plugged in m for z, s for t, and m/s for c. solved for D and got 0.
 
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  • #2
Assume that z is not equal to ct, then if you solve for d, what do you get?
 
  • #3
rcgldr said:
Assume that z is not equal to ct, then if you solve for d, what do you get?

ermm...i'm guessing m?
 
  • #4
Would it make sense to add two terms together that had different units? Like adding 5 meters plus 35 Amperes?
 
  • #5
Can you solve for d and show the equation?

d = ?
 
  • #6
All the individual terms in a physical equation have to have the same units.
 

Related to Equation z = ct + d, z is measured in meters and t in seconds; dimensions of D?

1. What does equation z = ct + d represent?

This equation represents a linear relationship between two variables, z and t. The variable z is measured in meters and t in seconds, and c and d are constants that determine the slope and y-intercept of the line.

2. What are the units of measurement for z and t in this equation?

Z is measured in meters and t is measured in seconds. The units of measurement are specified in the problem statement and are important to consider when solving the equation.

3. What do the constants c and d represent in this equation?

The constant c represents the slope of the line, which is the rate of change of z with respect to t. The constant d represents the y-intercept of the line, which is the value of z when t is equal to 0.

4. How do I solve for D in this equation?

To solve for D, you need to know the values of z, t, and c in the equation. Then, you can rearrange the equation to isolate D on one side and solve for it using basic algebraic operations.

5. Can this equation be used to solve for other variables besides D?

Yes, this equation can be rearranged to solve for any of the variables z, t, c, or d, as long as the values of the other variables are known. It can also be used to solve for other variables in similar linear equations with the same units of measurement.

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