a football player runs directly down to the field for 26m before turning to the right at an angle of 22 degrees from his original direction and running an additional 20 m before being tackled. what is the magnitude of the runners total displacement and at what angle to his original displacement is his total displacement ( with counterclock-wise positive) answer in units of degrees
let d1 = 26m and d2 = 20m. given angle is 22.0
the magnitude of the total displacement is d = d12 + d22 + 2d1d2 cos
= 262 + 202 + 2x26 x20 cos220 = 45.121m
teh angle is = Tan-1 ( d2 sin / ( d1 + d2 Cos) = 20 sin220 / ( 26 + 20 Cos 220 )
= Tan ( 0.168) = 9.370
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