contestada

3. Suppose the velocity, v, of an object is given by
v=2t² -5t-12
where t is time in seconds. Find the intervals where
the velocity is positive.

3 Suppose the velocity v of an object is given by v2t 5t12 where t is time in seconds Find the intervals where the velocity is positive class=

Respuesta :

FatmaZ

Answer:

4

Step-by-step explanation:

Using,

[tex] \frac{ - b + - \sqrt{ b^{2} - 4ac} }{2a} [/tex]

Where,

A= 2

B= -5

C= -12

By substitution, you get,

[tex] \frac{ 5 + - \sqrt{ 5^{2} - 4 \times 2 \times (- 12)} }{2 \times 2} [/tex]

By doing the calculation you get,

[tex]\frac{ 5 + - \sqrt{121} }{4}[/tex]

Find the solution of both,

[tex]\frac{ 5 + \sqrt{121} }{4}[/tex]

AND

[tex]\frac{ 5 - \sqrt{121} }{4}[/tex]

t= 4 seconds OR (t= -1.5 seconds, NP)

So t=4

Otras preguntas