A rock is thrown at a window that is located at a height h = 36.33...

A rock is thrown at a window that is located at a height h = 36.33 m above the ground. The rock is thrown at an angle of θ above horizontal. The rock is thrown at time 0 seconds from a height of h_i = 2.00 m above the ground with an initial speed of v₀ and experiences no appreciable air resistance. After t = 2.0 seconds, let the velocity of the rock be v =(15.00 i + 6.38 j ̂)m/s, where x-axis is a horizontal axis and y-axis is vertical and positive upward.

Write the expression for the y-component of the initial velocity in terms of the time t, the velocity at time t (v_y), and the gravitation acceleration g.

Find the initial speed in m/s.

Find the initial angle with the horizontal in degrees.

If the rock strikes the window on its downward trajectory, calculate the time (call it t_w) measured in seconds at which it will hit the window.

Calculate the horizontal distance in meters from where it was initially thrown to the window.

What was the maximum height (measured from the ground in meters) the rock has reached?

Expert Solution

genius_generous answered 2 years ago

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