Problemas
The functions approximate the velocities (in meters per second) of an object dropped from a height of x feet right before it hits the ground on Earth and Venus. What is the velocity of an object dropped from a height of 144 feet right before it hits the ground on Venus? Earth: E(x)=4.4sqrt (x) Venus: V(x)=0.9cdot E(x) V(144)=square meters per second
Roztwór
Gabriel
veterano · Tutor durante 12 años
4.6
(205 Votos)
Respuesta
To find the velocity of an object dropped from a height of 144 feet right before it hits the ground on Venus, we need to use the given functions for Earth and Venus.Step 1: Calculate the velocity on Earth using the function E(x) = 4.4√x.E(144) = 4.4√144E(144) = 4.4 * 12E(144) = 52.8 meters per secondStep 2: Calculate the velocity on Venus using the function V(x) = 0.9 * E(x).V(144) = 0.9 * E(144)V(144) = 0.9 * 52.8V(144) = 47.52 meters per secondTherefore, the velocity of an object dropped from a height of 144 feet right before it hits the ground on Venus is 47.52 meters per second.