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inessss [21]
3 years ago
5

A glider is initially moving at a constant height of 3.72 m. It is suddenly subject to a wind such that its velocity at a later

time t can be described by the equation v(t) = 16.02i − 7.96(1 + t)j + 0.76t3k, where v and its components are in meters per second, t is in seconds, and the z axis is perpendicular to the level ground. (a) What was the initial velocity of the glider? (Express your answer in vector form.)
Physics
1 answer:
My name is Ann [436]3 years ago
5 0

Answer:

17.89\ \text{m/s}

Explanation:

Velocity is given by

v(t) = 16.02\hat{i}-7.96(1 + t)\hat{j} + 0.76t^3\hat{k}

Initial velocity is asked so t = 0

v(0)=16.02\hat{i}-7.96(1+t)\hat{j}+0.76\times 0\hat{k}\\\Rightarrow v(0)=16.02\hat{i}-7.96\hat{j}

Magnitude is given by

|v|=\sqrt{16.02^2+(-7.96)^2}\\\Rightarrow |v|=17.89\ \text{m/s}

The initial velocity of the glider was 17.89\ \text{m/s}.

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Answer:

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Answer:

a) 75.5 degree relative to the North in north-west direction

b) 309.84 km/h

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