Question

Batman wants to test the sonar on his BatSub". Relative to the ocean floor, Batman is traveling at 55 m/s @ 45° SW. To insure the velocity readings of the sonar are correct he fires the BatEscapePod™ with Robin inside. Relative to the ocean floor, Robin is traveling at a velocity of 40 m/s @ 15° NW. Robin then fires a BatTorpedo". Relative to the torpedo, Robin has a velocity of 32 m/s @ 60' NW. ASSUME: • Batman is traveling at 55 m/s @ 45° SW relative to the ocean floor • Robin is traveling at 40 m/s @ 15 NW relative to the ocean floor • Robin is traveling at 32 m/s @ 60° NW relative to the torpedo DETERMINE: For each of the following, a justification (rule) and answer are required. a) What is the velocity of Batman relative to Batman? b) What is the velocity of the Bat Torpedo relative to Robin? c) What is the velocity of the Robin relative to Batman? d) What is the velocity of the BatTorpedo" relative to Batman? e) If Batman's radar displayed relative velocities as if it was a bird's-eye-view, draw what Batman should see on his radar.

Answer 1

a) veloi of Batman relatine o Batman. VeT 60 E b)re TR -Ver RT velocity of Bat Topeds reative Robin velocit of Batman felative to oc ean = 32mls a 60 SE TR V= 55ms us SW Velocity of Ro bin reative Datman velocity of Robin rebativ o ocontbor 2 Ve40msa 5° NW RB 1 Cng le betiven Ve IS°4s- 60° Robin elbcity relative dfopalo 32 mls a 60 Nw RT 2 cos VRe (5s)(40)axss)X10)X F49.2 m/s Angle with 2> 7sin 60 Ve- Vecos 60 an- B Jan5 ms singo 0 mls-SSm/s co 60

(I550 NW hat is direcions is hat Nowth =49.2 mls a N RG d)TR velocity of Bat Terpedo relative Jo orean oor VTBvelocity of BotTorpedo elative go Batman Ang le behwen e+ Ve 60 t(180-90) 1 VT=26 8 m/s angle with V TTA a tan VR sin iso RBVR Cos50° = tan- /32 mis sin 150 36.7 49.2 mls 32 mls cos I50 26.8nls 36 7 EN TTB (e) E