A motor boat is to reach at a point 30∘ upstream on the otherside of river flowing with velocity 5m/s. Velocity of motor boat with respect to water is 5√3m/s .The driver should steer the boat at an angle
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7
Answer:
19°
Explanation:
A motor boat is to reach at a point 30∘ upstream on the otherside of river flowing with velocity 5m/s. Velocity of motor boat with respect to water is 5√3m/s .The driver should steer the boat at an angle
Vm = Velocity of motor boat
Vs = Velocity of Stream
Vms = Velocity of Motor boat wrt to stream
Vms = Vm - Vs
Velocity of motor boat with respect to water is 5√3m/s
Angle to achieve = 30°
Vms = 5√3Cos30° i + 5√3Sin30°j
Vs = 5i
5√3Cos30° i + 5√3Sin30°j = Vm - 5i
=> Vm = (5 + 5√3Cos30°)i + 5√3Sin30°j
=> Vm = (5 + 5√3*√3/2)i + 5√3(1/2)j
=> Vm = (25/2)i + 5√3/2 j
Tan ( angle) = (5√3/2) /(25/2)
=> Tan angle = √3/5
=> Angle = Tan⁻¹(√3/5)
=> Angle = 19°
The driver should steer the boat at an angle 19°
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Answer:wrong answer
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