You have been employed by the local circus to plan their humancannonball perform

Question

You have been employed by the local circus to plan their humancannonball performance. For this act, a spring-loaded cannon willshoot a human projectile, the Great Flyinski, across the big top toa net below. The net is located 3.5 mlower than the muzzle of the cannon from which the Great Flyinskiis launched. The cannon will shoot the Great Flyinski at an angleof 39.0° above the horizontal and at aspeed of 17.0 m/s. The ringmaster hasasked that you decide how far from the cannon to place the net sothat the Great Flyinski will land in the net and not be splatteredon the floor, which would greatly disturb the audience. What do youtell the ringmaster? You tell the ringmaster to place the net such that its centeris _____ m in front of the cannon.
You have been employed by the local circus to plan their humancannonball performance. For this act, a spring-loaded cannon willshoot a human projectile, the Great Flyinski, across the big top toa net below. The net is located 3.5 mlower than the muzzle of the cannon from which the Great Flyinskiis launched. The cannon will shoot the Great Flyinski at an angleof 39.0° above the horizontal and at aspeed of 17.0 m/s. The ringmaster hasasked that you decide how far from the cannon to place the net sothat the Great Flyinski will land in the net and not be splatteredon the floor, which would greatly disturb the audience. What do youtell the ringmaster? You tell the ringmaster to place the net such that its centeris _____ m in front of the cannon.

Explanation / Answer

The initial velocity v = 17 m/s the angle of inclination = 39 the height of the cannon from net h = 3.5m the time taken to the net h = - vt + 1/2 gt2 3.5 = - 17 sin39 t + (0.5)(9.8)t2 3.5 = 10.7t + 4.9t2      t = 2.47sec therefore the distance x = 2.47*17cos39 = 32.6 m

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.