The problem that follow involve straight-line motion. The time t is in seconds unless othe...

The problem that follow involve straight-line motion. The time t is in seconds unless otherwise stated.

Problem

Progressively developing a more realistic model, the bioengineer next models the acceleration of the snow petrel by an equation of the form a = C( 1 + sin ωt), where C and ω are constants. From video measurements of a bird taking off, he estimates that ω = 18 and determines that the bird requires 1.42 s to take off and is moving at 6.1 m/s when it does. What is the constant C?