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Verdich [7]
3 years ago
6

Please Help!!!! ASAP!!!

Physics
1 answer:
d1i1m1o1n [39]3 years ago
3 0

Answer:

0.594 m/s^2

Explanation:

The acceleration is the derivative of the velocity. Therefore, we need to differentiate each component of the velocity to find the components of the acceleration first.

The velocity along the x-axis is:

v_x = 5.00 - 0.0170 t^2

Differentiating,

a_x = -2(0.0180)t = -0.0360 t

Similarly, the velocity along the y-axis is:

v_y = 2.00 + 0.550 t

Differentiating,

a_y = +0.550

So now we have the components of the acceleration; substituting t = 6.23 s, we get:

a_x = -0.0360 (6.23)=0.224 m/s^2\\a_y = 0.550 m/s^2

And so the magnitude of the acceleration is

a=\sqrt{a_x^2+a_y^2}=\sqrt{(0.224)^2+(0.550)^2}=0.594 m/s^2

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<span>

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