_{1}= 3 X + 2 = 0 X

_{2}= -2

_{1 }+ X

_{2 ) }X + X

_{1. }X

_{2 = X ^2 - ( 3 - 2 ) X + 3 ( -2) = X^2 - X - 6}

I need help on these problems regarding acceleration:

1. The head of a rattlesnake can accelerate at 50.0 m/s^2 in striking victim. If a car would have the same acceleration, how long would it take for it to reach a speed of 100.0 km/h from rest? ( First we need to figure out how many m/s 100 km/h is equal to.)

2. A soccer player, running at 3.2 m/s, decides to accelerate. For the next 6.0 s, he speeds up with an acceleration of 0.50 m/s^2. What is his speed at the end of the run?

3. a. A windmill-style softball pitcher executes a pitch in 0.65 seconds. The ball accelerates from 0 m/s to 40 m/s. What is the acceleration?

b. Convert 40 m/s to mi/h. What is the acceleration in the above problems in mi/h/s?

And I also need help with this problem relating to quadratic equations and their discriminant:

1. For any quadratic equation ax^2+ bx+ c= 0, the sum of the solutions equal to -b/a, and the product of the solutions is equal to c/a. Show that this is true for x^2 - x - 6 = 0.

Tutors, sign in to answer this question.

Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...

X ^2 - X -6 = X^2 +2X - 3X - 6

= X ( X +2 ) - 3 ( X + 2) = ( X -3 ) ( X +2 )

X^2 - X - 6 = 0 , then ( X - 3 ) ( X +2 ) =0

X - 3 = 0 X_{1} = 3 X + 2 = 0 X_{2} = -2

X ^2 - ( X_{1 }+ X_{2 ) }X + X_{1. }X_{2 = X ^2 - ( 3 - 2 ) X + 3 ( -2) = X^2 - X - 6}

Already have an account? Log in

By signing up, I agree to Wyzant’s terms of use and privacy policy.

Or

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Your Facebook email address is associated with a Wyzant tutor account. Please use a different email address to create a new student account.

Good news! It looks like you already have an account registered with the email address **you provided**.

It looks like this is your first time here. Welcome!

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Please try again, our system had a problem processing your request.

Jessica K.

Enthusiastic Pre Medical student Science Tutor!

$10 per 15 min

View Profile >

Lluvia Z.

Expert Physics Teacher for High School through Quantum Mechanics

$12.50 per 15 min

View Profile >

Shannon R.

Knowledgeable Med Student Tutoring Math, Science, Test prep, and more!

$10 per 15 min

View Profile >