SORRY LAST ONE FOR TODAY, IM GOING TO PASS IF I GET THIS ANSWERED A cannon fires a cannonball directly upwards at +150m/s. How long does it take for the cannonball to reach maximum height?

According to the Given Statement

Canon fires directly upwarda at 150m/s ( Initial speed, u )

Acceleration due to gravity is 10m/s²

Since Cannon ball reach it maximum height so its final velocity v will be 0 m/s .

Using Kinematic Equation

On substituting the value we get

➥ 0 = 150 + 10 × t

➥ 150 = 10 × t

➥ 150/10 = t

➥ 15 s = t

So, it will take 15 seconds .

maximum height reached: 15 s

Explanation:

using the formula: maximum height reached = [(sin(θ) * speed)/ gravity]

Here speed is 150m/s and gravity is 10 m/s² and as it does directly upwards, it has an angle of 90°

using the formula:

maximum height reached = [(sin(90) * 150)/ 10] = 15 s

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.