## Make t the subject of the formula s = ut + ½ at²

**QUICK ANSWER…**

**D**

**DETAILS…**

**We’re going to be using the almighty formula to make t the subject of the formula s = ut + ½ at²:**

**Recall that a quadratic equation has the nature ax****²**** + bx + c = 0**

**from the given problem, we have:**

**s = ut + ½ at²**

**Rearranging, we have:**

**0 = ½ at² + ut – s**,

**or**

**½ at****²**** + ut – s = 0**

**Multiplying through by 2, we then have:**

**at****²**** + 2ut – 2s = 0**

**comparing this with ****ax****²**** + bx + c = 0, we have:**

**a = a, b = 2u, c = -2s, and also take note that x = t**

**Applying this to the general solution for a quadratic equation using the almighty formula, we have:**

**Now for the right answer to the above question:**

**Option A is incorrect. there should be a minus sign before u****Option B is incorrect. there should be a plus sign inside the square root.****C is incorrect. there should be a minus sign before u.****D is the correct answer.**

**KEY-POINTS…**

**You may please note these/this:**

**The almighty formula is the general formula used to solve any quadratic equation.****Please be careful when playing with signs, many students usually miss it at this point.**

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**/ culled from 2020 JAMB-UTME mathematics past question 04 /**