Exercises 20–23 concern Roger Ramjet and his trajectory when he is shot from a canno...

Exercises 20–23 concern Roger Ramjet and his trajectory when he is shot from a cannon as in Example 6 of this section.

Gertrude is aiming a Super Drencher water pistol at Egbert, who is 1.6 m tall and is standing 5 m away.

Gertrude holds the water gun 1 m above ground at an angle α of elevation. (See Figure 3.14.)

(a) If the water pistol fires with an initial speed of 7 m/sec and an elevation angle of 45?, does Egbert get wet?

(b) If the water pistol fires with an initial speed of 8 m/sec, what possible angles of elevation will cause Egbert to get wet? (Note: You will want to use a computer algebra system or a graphics calculator for this part.)