Answer:
2. The answer should be the last one.
3. The answer should be the first three.
Step-by-step explanation:
Question 2
KE = (1/2)mv²
2KE = mv²
v² = 2KE/m
v = ±√(2KE/m)
Therefore the answer should be the last one.
Question 3
b^(1/2) * b^(5/2)
Remember that the product rule states that b^x * b^y = b^(x+y)
So this means b^(1/2) * b^(5/2) = b^(1/2+5/2) = b^(6/2) = b^3
Also remember that the power rule states that √b = b^(1/2)
so this means b^(6/2) can also be written as (√b)^6
Therefore the answer should be the first three.
If you want to double check all of your answers, just replace b with a number (for example, 2), and plug all of the choices into the calculator. Just make sure you are very careful when typing into the calculator.