A puck moves 2.35 m/s in a -22 degree direction. A hockey stick pushes it for 0.215 s, changing its velocity to 6.42 m/s in a 50 degree direction. What is the magnitude of acceleration

Respuesta :

For a puck moves 2.35 m/s in a -22 degree direction. A hockey stick pushes it for 0.215 s, changing its velocity to 6.42 m/s in a 50 degree direction the magnitude of the acceleration is mathematically given as

θ=71.4

What is the magnitude of acceleration?

Generally, the equation for the initial velocity of the puck is mathematically given as

v1=v1cosαi+v1sinαj

v1=(2.35)cos(−22.0)i+(2.35m)sin(−22.0)j

v1=2.1788820582i−0.8803254945j

v2=(6.42)cos(50.0)i+(6.42)sin(50.0)j

v2=4.1266964542i+4.9180053248j

hence,

a=v2−v1/Δt

[tex]a=(4.1266964542i+4.9180053248j) - (2.1788820582i-0.8803254945j)/0.215s[/tex]

a= 9.0596018419i+26.968980555j

In conclusion, the magnitude of acceleration

θ=tan−1(26.968980555/9.0596018419)

θ=71.431423019

θ=71.4

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