A jet fighter pilot wishes to accelerate from rest at 5 g to reach Mach-3 (three times the speed of sound) as quickly as possible. Experimental tests reveal that he will black out if this acceleration lasts for more than 5.1s . Use 331m/s for the speed of sound.
1.Will the period of acceleration last long enough to cause him to black out? Yes or no
2.What is the greatest speed he can reach with an acceleration of 5 g before blacking out?

Question

A jet fighter pilot wishes to accelerate from rest at 5 g to reach Mach-3 (three times the speed of sound) as quickly as possible. Experimental tests reveal that he will black out if this acceleration lasts for more than 5.1s . Use 331m/s for the speed of sound.
1.Will the period of acceleration last long enough to cause him to black out? Yes or no
2.What is the greatest speed he can reach with an acceleration of 5 g before blacking out?

anonymous · Answer

v = a t
g = 9.8 m/s^2
3(331) = 5 g t
t = ?

v = 5 g t = 5 g (5.1) = ?