Independent Practice Use the vertical motion formula h = –16t2 + vt + c.

A soccer ball is kicked with a starting upward velocity of 50 ft/s from a starting height of 3.5 ft. Substitute the values into the vertical motion formula and let h = 0. Use the quadratic formula to solve for t. If no one touches the ball, how long is the ball in the air?

A.
0.1 s

B.
–0.1 s

C.
3.2 s

D.
1.1 s

   The answer is letter A.  0.1s I think

-16t^2 + 50t + 3.5= 0

Step-by-step explanation:  The answer is either letter A or letter B

Question

Use the vertical motion formula h=-16 t^{2}+v t+ch=−16t  

2

+vt+c. A soccer ball is kicked with a starting upward velocity of 50 ft/s from a starting height of 3.5 ft. Substitute the values into the vertical motion formula Let h = 0.

Explanation

Step 1

1 of 2

The starting velocity is 50 ft/s ,when the ball is 3.5 ft high

So, v=50v=50 , h=3.5h=3.5 , t=0t=0

\begin{align*} h&=-16t^2+vt+c &&\text{{\color{#c34632}The vertical motion formula}} 3.5&=-16(0)^2+50(0)+c &&\text{{\color{#c34632}Substitute 3.5 for $h$ , 50 for $v$ , 0 for $t$}} c&=3.5 &&\text{{\color{#c34632}Simplify}} \end{align*}

h

3.5

c

​

=−16t  

2

+vt+c

=−16(0)  

2

+50(0)+c

=3.5

​

​

The vertical motion formula

Substitute 3.5 for h , 50 for v , 0 for t

Simplify

​

So, the vertical motion formula will be

h= -16t^2 + 50t + 3.5

Let h= 0

                                     -16t^2 + 50t + 3.5= 0

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights