Question

15. The velocity of an object fired directly upward is given by V = 20 – 9.8t, where t is time in seconds. Write an inequality which could be used to describe when the velocity will be between 10 and 20 meters per second. (See Ex. 8) Explain to verify your choice.

10 > 20 – 9.8t > 20
10 > 20 – 9.8t OR 20 – 9.8t < 20
10 < 20 – 9.8t OR 20 – 9.8t < 20
10 < 20 – 9.8t < 20

Answer 1

`10<20-9.8t<20`

Explanation:

we are given

The velocity of an object fired directly upward is given by

`v=20-9.8t`

where t is time in seconds

Since, velocity is velocity is between 10m/s and 20m/s

so, velocity is greater than 10 and less than 20

so, we can write our inequality as

`10<v<20`

now, we can plug v

and we get

`10<20-9.8t<20`