Question

the height of a ball can be estimated by the following equation h(t) = 8t^2 4t 125 where t is time, in seconds, after the ball was thrown and h(t) is the corresponding height, in meters. what is the height at t=2.3 seconds

Answer 1

176.52m

Explanation:

Given is the height of a ball as

`h(t) = 8t^2+ 4t +125`

where t is time, in seconds, after the ball was thrown and h(t) is the corresponding height, in meters

When t=2.3, substitute this for t

h(2.3) =
`8(2.3)^2 +4(2.3)+ 125 \\=176.52m`

Answer 2

Replace t with 2.3 and solve:

8(2.3)^2 +4(2.3) + 125

Simplify:

8(5.29) + 9.2 + 125

42.32 + 9.2 + 125

51.52 + 125

176.52 meters