contestada

33. A zebra is at rest 60 m away from a charging lion
running at 20 m/s. If the zebra accelerates at 4
m/s2, will the lion catch it?

Respuesta :

Nasirstroud

Answer:

the lion will miss the zebra by 3 meters

Explanation

The zebra has gone 23.75m after 5 seconds

and the lion can only go 20 m/s

The lion can not catch zebra.

A diagram is attached below which describe situation of question.

The speed of Zebra is,

      [tex]v=u+at=0+4t=4t[/tex]

Where u is initial speed of zebra.

The speed of lion is 20m/s.

The lead in speed by lion for every second is [tex](20-4t)[/tex].

             [tex](20-4t)*t=60\\\\20t-4t^{2}=60\\ \\t^{2}-5t+15=0\\ \\t=\frac{5\pm\sqrt{(-35)} }{2}[/tex]

Here time is imaginary.

Therefore, The lion can not catch zebra.

Learn more:

https://brainly.com/question/24430414

Ver imagen ibiscollingwood

Otras preguntas