Hey i had this problem on my test today and couldnt figure out anyway to solve it since i dont have the base function
4. A student is cleaning the outside of the patio windows at his aunt's apartment, which is located 90 meters above the ground. He accidentally kicks a flowerpot, sending it over the edge of the balcony.
a) Determine an algebraic expression, in terms of a and h, to represent the average rate of change of the height above the ground of the falling flowerpot. Simplify your expression.
b) Determine the average rate of change of the flowerpot's height above the ground in the interval between 1 second and 3 seconds after it fell from the edge of the balcony.
c) Estimate the instantaneous rate of change of the flowerpot's height in 1 second and at 3 seconds.
d) Determine the equation of the tangent at t = 1. Sketch a graph of the curve and tangent at t = 1.
i noticed AFTER the test that i could use the gravity number 9.8 m/s im still not sure how to solve it
4. A student is cleaning the outside of the patio windows at his aunt's apartment, which is located 90 meters above the ground. He accidentally kicks a flowerpot, sending it over the edge of the balcony.
a) Determine an algebraic expression, in terms of a and h, to represent the average rate of change of the height above the ground of the falling flowerpot. Simplify your expression.
b) Determine the average rate of change of the flowerpot's height above the ground in the interval between 1 second and 3 seconds after it fell from the edge of the balcony.
c) Estimate the instantaneous rate of change of the flowerpot's height in 1 second and at 3 seconds.
d) Determine the equation of the tangent at t = 1. Sketch a graph of the curve and tangent at t = 1.
i noticed AFTER the test that i could use the gravity number 9.8 m/s im still not sure how to solve it
Attachments
Last edited by a moderator: