Share
The height of a pebble dropped from a cliff 20,00 feet heigh is described by formula h(t)=20,000 + 5t^2. How long will the pebble take to re
Question
The height of a pebble dropped from a cliff 20,00 feet heigh is described by formula h(t)=20,000 + 5t^2. How long will the pebble take to reach a height of 32,500 feet?
in progress
0
Mathematics
3 years
2021-09-04T21:58:02+00:00
2021-09-04T21:58:02+00:00 1 Answers
7 views
0
Answers ( )
Answer:
It will take 50 seconds for the pebble to reach the height
Step-by-step explanation:
To calculate the time, simple substitute h(t) for 32,500
So we have
32,500 = 20,000 + 5t^2
5t^2 = 32,500-20,000
5t^2 = 12500
t^2 = 12500/5
t^2 = 2500
t = square root of 2500
t = 50 seconds