If a rock is thrown upward on Mars with velocity 10 m/s, its height (in meters) after t seconds is given by h(t) = 10t − 1.86t 2. Recall that the derivative h 0 (a) is also the instantaneous rate of change of y = h(x) with respect to x at x = a. This means it is the instantaneous velocity of h(x) with respect to x at x = a. 1.) Find the velocity of the rock when t = a 2.) Find the velocity of the rock after one second. 3.) When did the rock hit the ground? 4.) With what velocity will the rock hit the ground?

If a rock is thrown upward on Mars with velocity 10 m/s, its height (in meters) after t seconds is given by h(t) = 10t − 1.86t 2. Recall that the derivative h 0 (a) is also the instantaneous rate of change of y = h(x) with respect to x at x = a. This means it is the instantaneous velocity of h(x) with respect to x at x = a. 1.) Find the velocity of the rock when t = a 2.) Find the velocity of the rock after one second. 3.) When did the rock hit the ground? 4.) With what velocity will the rock hit the ground?

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

SectionP.6: Analyzing Graphs Of Functions

Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.

See similar textbooks