Answer
2.0 m/s.
Work Step by Step
Use the level horizontal range formula to find the launch speed of the grasshopper. The range and angle are given, and the launch speed is found to be 2.8 m/s.
The time between jumps is negligible, so the average horizontal speed of the grasshopper is the horizontal component of the launch velocity. $(2.8 m/s)(cos 45 ^{\circ}) \approx 2.0 m/s$
