Chapter 2: Q. 175 (page 144)

Solve the formula $h = 54 t + \frac{1}{2} a t^{2}$ for $a$ .

Short Answer

Expert verified

The solution for $a$ is as $a = \frac{2 (h - 54 t)}{t^{2}}$

Step by step solution

Step 1. Given information

The given formula is $h = 54 t + \frac{1}{2} a t^{2}$ .

Step 2. Simplifying

Subtract $54 t$ form both sides and simplify as shown below:

$h = 54 t + \frac{1}{2} a t^{2} h - 54 t = 54 t + \frac{1}{2} a t^{2} - 54 t h - 54 t = \frac{1}{2} a t^{2}$

Step 3. Simplify further

Multiply by $2$ on both sides and simplify as shown below:

$h - 54 t = \frac{1}{2} a t^{2} 2 (h - 54 t) = (\frac{1}{2} a t^{2}) \times 2 2 (h - 54 t) = a t^{2}$

Step 4. Simplify further

Divide by $t^{2}$ on both sides and simplify as shown below:

$2 (h - 54 t) = a t^{2} \frac{2 (h - 54 t)}{t^{2}} = \frac{a t^{2}}{t^{2}} a = \frac{2 (h - 54 t)}{t^{2}}$

Step 5. Final answer

The solution for $a$ is as $a = \frac{2 (h - 54 t)}{t^{2}}$ .

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Solve the formula $h = 54 t + \frac{1}{2} a t^{2}$ for $a$ .

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplifying

Step 3. Simplify further

Step 4. Simplify further

Step 5. Final answer

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Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplifying

Step 3. Simplify further

Step 4. Simplify further

Step 5. Final answer

One App. One Place for Learning.

Most popular questions from this chapter

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Solve the formula $h = 54 t + \frac{1}{2} a t^{2}$ for $a$ .