Chapter 1.4, Problem 3aT

On a separate part of your paper, copy the velocity vectors $\stackrel{\to }{{\upsilon }_E}\text{and}\stackrel{\to }{{\upsilon }_F}$ . From these vectors, determine the change in velocity vector, $\Delta \stackrel{\to }{\upsilon }$ .

1. Is the angIe $\theta$ , formed by the head of $\stackrel{\to }{{\upsilon }_E}$ and the tail of $\Delta \stackrel{\to }{\upsilon }$ , greater than, less than, or equal to $90°$ ?

Consider how $\theta$ changes as point F is chosen to lie closer and closer to point E.

What value or range of values is possible for this angle for an object that is speeding up? Explain.

What happens to the magnitude of $\Delta \stackrel{\to }{\upsilon }$ as point F is chosen to lie closer and closer to point E?

2. Describe how you would determine the acceleration of the object at point E.

Consider the direction of the acceleration at point E. Is the angle between the acceleration vector and the velocity vector (placed “tail-to-tail”) greater than, less than, or equal to $90°$ ?