Answer
a. 9.72 m/s
b. 0.81 m
Work Step by Step
a. Use the level horizontal range formula to find the launch speed of the athlete. The range and angle are given, and the launch speed is found to be 9.72 m/s.
b. Increase the speed by a factor of 1.05, getting 10.21 m/s, and plug it back into the range equation to find a new range of 8.606 m. This is longer by 0.81 m.