Assignment #3

Assignment #3

Answer each of the following questions. You must provide detailed work illustrating how you arrived at your solution.

Submit your answers to the drop box. Your work may be attached as a Word Document or a PDF File.

1) A security car with its spotlight on is parked 40 meters from a warehouse. Consider θ and x as shown in the figure. Write θ as a function of x.

2) A weight is oscillating on the end of a spring (see figure). The position of the weight relative to the point of equilibrium is given by   where y is the displacement(in meters) and t is the time (in seconds). Find the time when the weight is at the point of equilibrium (y = 0) for 0 ≤ t ≤ 1.

 

3) The horizontal distance d (in feet) traveled by a projectile with an initial speed of v feet per second is modeled by: 

where θ is the angle at which the projectile is launched.

Find the horizontal distance traveled by a golf ball that is hit with an initial speed of 100 feet per second when the ball is hit at an angle of θ = 40°. Round to the nearest foot.