Special airbags are used to protect scientific equipment when a rover lands on the surface of Mars. On Earth, the function shown here approximates an object’s downward velocity in feet per second as the object hits the ground after bouncing x ft in height. The corresponding function for Mars is compressed vertically by a factor of about 3/5. How fast would a rover hit the surface of Mars after a bounce of 150 ft? Round your answer to the nearest hundredth.

f(x)=√(64x)

Question

Special airbags are used to protect scientific equipment when a rover lands on the surface of Mars. On Earth, the function shown here approximates an object’s downward velocity in feet per second as the object hits the ground after bouncing x ft in height. The corresponding function for Mars is compressed vertically by a factor of about 3/5. How fast would a rover hit the surface of Mars after a bounce of 150 ft? Round your answer to the nearest hundredth.

f(x)=√(64x)