2. In the following equations, the letters b, c, d, fand g are constants. Find the SI units of each constant. Equation: Units of Show work here: b: c: a. position: x(t) = bt* + ct³ + dt² + ft + g, where t is time d: b: b. displacement: y(x,t) = b cos(cx – dt), C: where t is time and x is position d: b: current: I(t) = be-t, where t is time and / C. is current, measured in amperes (symbol A) c:

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**Equation Sheet for Determining SI Units of Constants**  

In the following equations, the letters \( b, c, d, f, \) and \( g \) are constants. Determine the SI units of each constant.

**Equation:**
1. **Position: \( x(t) = bt^4 + ct^3 + dt^2 + ft + g \)**
   - where \( t \) is time.

   **Units of:**
   - **\( b \):** _______________
   - **\( c \):** _______________
   - **\( d \):** _______________
   - **\( f \):** _______________
   - **\( g \):** _______________

   **Show work here:**  

2. **Displacement: \( y(x, t) = b \cos(cx - dt), \)**
   - where \( t \) is time and \( x \) is position.

   **Units of:**
   - **\( b \):** _______________
   - **\( c \):** _______________
   - **\( d \):** _______________

   **Show work here:**  

3. **Current: \( I(t) = be^{-ct}, \)**
   - where \( t \) is time and \( I \) is current, measured in amperes (symbol A).

   **Units of:**
   - **\( b \):** _______________
   - **\( c \):** _______________

   **Show work here:**

**Instructions:**
For each equation, calculate and fill in the appropriate SI units for each constant based on the dimensions provided. Use dimensional analysis to determine the correct units.
Transcribed Image Text:**Equation Sheet for Determining SI Units of Constants** In the following equations, the letters \( b, c, d, f, \) and \( g \) are constants. Determine the SI units of each constant. **Equation:** 1. **Position: \( x(t) = bt^4 + ct^3 + dt^2 + ft + g \)** - where \( t \) is time. **Units of:** - **\( b \):** _______________ - **\( c \):** _______________ - **\( d \):** _______________ - **\( f \):** _______________ - **\( g \):** _______________ **Show work here:** 2. **Displacement: \( y(x, t) = b \cos(cx - dt), \)** - where \( t \) is time and \( x \) is position. **Units of:** - **\( b \):** _______________ - **\( c \):** _______________ - **\( d \):** _______________ **Show work here:** 3. **Current: \( I(t) = be^{-ct}, \)** - where \( t \) is time and \( I \) is current, measured in amperes (symbol A). **Units of:** - **\( b \):** _______________ - **\( c \):** _______________ **Show work here:** **Instructions:** For each equation, calculate and fill in the appropriate SI units for each constant based on the dimensions provided. Use dimensional analysis to determine the correct units.
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