calculus helpppp!
a 20m ladder rests vertically against the side of a barn. a pig that has been hitched to the ladder starts to pull the base of the ladder away from the wall at a constant rate of 40 cm per second. find the rate of change of the height of the top of the ladder after 30 secs
Reply
Answers
The rate of change of the height of the top of the ladder after 30 secs is 1.2 m/s. This can be found using the equation: Rate of Change = (Change in Height of Ladder) / (Change in Time). The change in height of the ladder is 40 cm/sec * 30 secs = 1200 cm = 12 m. The change in time is 30 secs. Therefore, Rate of Change = 12 m / 30 s = 0.4 m/sec. Since 0.4 m/sec is the rate of change of the height of the top of the ladder every second, we can multiply it by 30 (the number of seconds that has elapsed) to get the rate of change of the height of the top of the ladder after 30 secs. Therefore, Rate of Change = 0.4 m/sec * 30 secs ≈ 1.2 m/sec
