1. An athlete executing a long jump leaves the ground at a 27.0° angle and lands 7.80 m away, (a)…

1. An athlete executing a long jump leaves
the ground at a 27.0° angle and lands 7.80 m away, (a) What was the takeoff
speed? (b) If this speed were increased by just 5.0%, how much longer would the
jump be?

2. Derive a formula for the horizontal
range R, of a projectile when it lands at a height h above its initial point.
(For h < 0,="" it="" lands="" a="" distance="" -h="" below="" the="" starting="" point.)="" assume="" it="" is="" projected="" at="" an="" angle="">with initial speed .