Question #135005
A ball is thrown at 25 m/s, 20 degrees above the horizontal. What is the magnitude of the resultant velocity at a time of t = 0.35 s?
1
Expert's answer
2020-09-28T06:03:59-0400

Vy=V0sinθ=25sin20=22.8V_y=V_0sin\theta= 25\sin 20= 22.8


Vx=V0cosθ=25cos20°=10.2V_x=V_0\cos\theta= 25\cos 20\degree= 10.2


Vy=V0+ayt=22.89.8(0.35)=19.37V_y=V_0+a_yt= 22.8-9.8(0.35)=19.37


tanθ=19.410.2\tan \theta=\frac {19.4}{10.2}


θ=62.2°\theta=62.2\degree


magnitude=19.4m/smagnitude= 19.4m/s 62.2°62.2\degree below the horizontal (62.2°fromXaxis.)(62.2 \degree from X-axis.)


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