One side of the roof of a building slopes up at 32.0°. a roofer kicks a round, flat rock that has been thrown onto the roof by a neighborhood child. the rock slides straight up the incline with an initial speed of 15.0 m/s. the coefficient of kinetic friction between the rock and the roof is 0.355. the rock slides 10.0 m up the roof to its peak. it crosses the ridge and goes into free fall, following a parabolic trajectory above the far side of the roof, with negligible air resistance. determine the maximum height the rock reaches above the point where it was kicked.

Explanation:

When rock is moving up along the inclined plane then the deceleration of the rock is given as

now we have

so final speed at the top of the ramp is given as

now at this point the vertical component of the velocity is given as

Now maximum height from the ground is given as

i think it because equal matrices have equal dimensions, only square matrices can be symmetric. for all indices and . every square diagonal matrix is symmetric, since all off-diagonal elements are zero. in linear algebra, a real symmetric matrix represents a self-adjoint operator over a real inner product space.