Let be the bus path and be the jodis path.

(a)

The position at time of an object having acceleration is .

The acceleration of the train is .

Jodi can run with a speed of .

Train:

.

.

Jodi:

.

.

(b)

Jodi will catch the train if .

.

Find .

.

Since , the equation has no real solution.

Thus, jodi will not catch the bus.

(c)

Graph the parametric equations , , and .

.

(a)

Jodi: , .

Bus: , .

(b) Jodi will not catch the bus.

(c)

Graph of the parametric equations , , and ..