A skydiver jumps from a plane. Their velocity t seconds later before they opens their parachute is v(t) = 47(1 – 0.87) where v(t) is in meters per second. What is their terminal velocity, lim v(t)? %3D

Derek and Sandy leave an intersection at the same time. Derek travels north at 5 ft/s and Sandy travels west at 12 ft/s. Find a function that models the distance D between the pedestrians in terms of the time t (in seconds) elapsed since leaving the intersection.

The height above the ground of a rider on a Ferris wheel can be modeled by the sinusoidal function h=6sin(1.05t−1.57)+8ℎ=6sin(1.05t-1.57)+8  where hℎ  is the height of the rider above the ground, in metres, and t  is the time, in minutes, after the ride starts. When the rider is at least 11.5 m above the ground, she can see the rodeo grounds. During each rotation of the Ferris wheel, the length of time that the rider can see the rodeo grounds, to the nearest tenth of a minute, is  min.

The amount of daylight in a town can be modelled by the sinusoidal function d(t)= 4.37 cos 0.017t + 12.52 where d(t) represents the hours of daylight and t represents the number of days since June 20, 2012. How many hours of daylight should be expected on August 20, 2012? 14.74 h 14.89 h 15.04 h 15.19 h

A Ferris wheel of diameter 18.5 m rotates at a rate of 0.2 rad/s. If passengers board the lowest car at aheight of 3 m above the ground, determine a cosine function that models the height, h, in metres, of thecar relative to the ground as a function of the time, t, in seconds.