Question

2.[1/3 Points] DETAILS PREVIOUSANSWERS An object moves up and down. Its position, y, is a function of time, t, with y in meters and t in seconds. The velocity of the object is dy/dt = 1.5 sin(2t) m/s. Guess a formula for y(t). Be sure to check your formula by differentiating it. Then use your formula to compute y on [0, t]. Ignore units. -.75 cos(2t)+C)-(-.75 cos(0)+C) Suppose that you are also given y(0) = 2.5 m Compute y(t). Your answer will be a formula involving t. y(t)= -.75 cos(2t)+10 What is the maximum height attained by this object? Give an exact numerical answer with units. Ymax

          2.[1/3 Points]
DETAILS
PREVIOUSANSWERS
An object moves up and down. Its position, y, is a function of time, t, with y in meters and t in seconds. The velocity of the object is
dy/dt = 1.5 sin(2t) m/s.
Guess a formula for y(t). Be sure to check your formula by differentiating it. Then use your formula to compute y on [0, t]. Ignore units.
-.75 cos(2t)+C)-(-.75 cos(0)+C)
Suppose that you are also given
y(0) = 2.5 m
Compute y(t). Your answer will be a formula involving t.
y(t)= -.75 cos(2t)+10
What is the maximum height attained by this object? Give an exact numerical answer with units.
Ymax

213 points details previousanswers an object moves up and down its position y is a function of time t with y in meters and t in seconds the velocity of the object is dydt 15 sin2t ms guess a 01687

Added by Javier R.

Question

Please give Ace some feedback