Mario, a hockey player, is skating due south at a speed of 6.35 m/s relative to...

Mario, a hockey player, is skating due south at a speed of 6.35 m/s relative to the ice. A teammate passes the puck to him. The puck has a speed of 8.09 m/s and is moving in a direction of 22.0 ° west of south, relative to the ice. What are (a) the magnitude and (b) direction (relative to due south) of the puck's velocity, as observed by Mario?

Solutions

Expert Solution

Consider east-west direction along x-axis and north-south direction along y-axis

= velocity of mario relative to ice = 0 i - 6.35 j

= velocity of puck relative to ice = - (8.09 Cos22) i - (8.09 Sin22) j = - 7.5 i - 3.03 j

= velocity of puck relative to mario

velocity of puck relative to mario is given as

= -

= (- 7.5 i - 3.03 j) - (0 i - 6.35 j)

= - 7.5 i + 3.3 j

magnitude is given as

|| = Sqrt((- 7.5)² + (3.3)²)

|| = 8.2 m/s

Direction is given as

= 90 + tan^-1 (3.3/7.5)

= 113.75 deg

genius_generous answered 2 months ago

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