Final answer:
To find the value of v, substitute the given values into the equation Y² = X² + 2as and solve for Y. The possible values for v are 6 or -6.
Step-by-step explanation:
To find the value of v, we can substitute the given values into the equation Y² = X² + 2as. Given u = 12, a = -3, and s = 18, we can substitute these values into the equation.
Therefore, Y² = (12)² + 2(-3)(18)
Y² = 144 - 108
Y² = 36
To solve for Y, we take the square root of both sides:
Y = ±6
Since v is the value of Y, we have two possible values: v = 6 or v = -6.