Question

the equation s=t (v0 +1/2 at) can be used to calculate the distance, s, traveled by a body moving with a uniform acceleration, a, in time, t, where v0 is the initial velocity of the body. The steps to solve the equation for v0 are: step 1: s/t =v0 +1/2 at step 2: s/t - 1/2 at =v0 Which properties are applied to obtain step 1 and step 2? A. division property of equality and subtraction property of equality.division property of equality and subtraction property of equality. Bmultiplication property of equality and addition property of equality.multiplication property of equality and addition property of equality. Cdivision property of equality and addition property of equality.division property of equality and addition property of equality. Dmultiplication property of equality and subtraction property of equality.

Answer 1

The given equation is: s=t (v0 +1/2 at)

To answer this question, it is better to first have a look at all the properties of equality.

Addition:

It states that if we have a = b, then a + c = b + c

Subtraction:

It states that if we have a = b, then a - c = b - c

Multiplication:

It states that if we have a = b, then a * c = b * c

Division:

It states that if we have a = b, then a/c = b/c (c should be nonnegative)

Step1:

s/t = v0 + 1/2 at

In this step, both sides are divided by 't'. Hence, it follows the division property of equality.

Step2:

s/t - 1/2 at = v0

In this step, we minus 1/2at from both sides. Hence, it follows the subtraction property of equality.