The equation h(t)=−9.8t^2+100 represents the relationship of the height, in meters, over time, in seconds, of an object dropped from the height of 100 meters. What is the height of the object 2.5 seconds after it was dropped?(1 point

1. 3.19 meters
2. 100 meters
3. 138.75 meters
4. 38.75 meters

1 answer

To find the height of the object 2.5 seconds after it was dropped, we need to substitute t = 2.5 into the equation for h(t).

h(t) = -9.8t^2 + 100

h(2.5) = -9.8(2.5)^2 + 100
= -9.8(6.25) + 100
= -61.25 + 100
= 38.75 meters

Therefore, the height of the object 2.5 seconds after it was dropped is 38.75 meters.

The correct answer is 4. 38.75 meters.