Agolfer hits a golf ball at an angle of 25.0° to the ground. if the golf ball covers a horizontal distance of 301.5 m, what is the ball’s maximum height? (hint: at the top of its flight, the ball’s vertical velocity component will be zero.

the horizontal displacement can be expressed as:

Δx=vxt

Height is expressed as Δy=vyt−12gt2

The time it would hit the maximum height is expressed as:

0=vy−gt→t=vyg

The time that the projectile reaches the ground is twice the time it takes the projectile to reach its maximum height. This is expressed as

t=2vyg

to find the time of the projectile to reach the maximum height, we have the formula

r=vx2vyg

From trigonometry,

vx=cos(θ)vy=sin(θ)

r=2cos(θ)sin(θ)g

We know from our trigonometric identities that

sin(2θ)=2sin(θ)cos(θ) , so it would become

r=v2gsin(2θ)

ymax=v2yg−12g(vyg)2=v2yg−12v2yg=v2sin2(θ)2g

velocity is R=301.5

θ

=25 g=10

m/s2

V(0)=? Y(max)=?

R=R=v2∗sin(2θ)/g

Substitute the answers  in the equation v ll,  that would be  V^2=3935m/s we also know that at the highest point V(y)=0 so we v can write down:

V(y)2−V(0)(y)2=−2gΔy

we also know that

V(y)=V(0)∗sinθ

V(y)2−[V(0)sinθ]2=−2gΔy

y :35m

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation:

bdhfnfhjffjkfjfjfjjf