Afootball is launched at 40 m/s, at an angle from the ground. what should the angle be such that maximum height of the trajectory of the football is 10 m?

The football must be launched whit an angle of 20,487 degrees to reach a maximum height of 10 meters.

Explanation:

To solve this problem we use the parabolic motion equations:

We define:

: total initial speed  =

:initial speed component in vertical direction (y) =

: vertical speed at any point on the parabolic path

g= acceleration of gravity= 9,8

= angle that forms the total initial velocity with the ground

Equation of the speed of the football in the vertical direction :

 Equation (1)  

We replace,  in the equation (1):

Equation(2)

Angle calculation

The speed of the football in the vertical direction gradually decreases until its value is zero when it reaches the maximum height.

We replace , in the equation (2)

°

The football must be launched whit an angle of 20,487 degrees to reach a maximum height of 10 meters.

i think it’s a. this is because if they measured the mass of something with a mass of 150g, then their final answer would have to be approximately 150g. though all of their answers are almost 150, rosa and tran have the closest answers (or the exact answer) to the accurate one.

emily ruth's annual premium is $1058.50

step-by-step explanation:

emily ruth is a female of 27 years age purchasing 20 year endowment insurance with face value $25000.

from the given table,

for females, the age of a male 3 years younger should be used.

so, we have to check for 24 year male for 20 year endowment.

it is 42.34 for every $1000 face value.

for a face value of $25000,

it is 25 * 42.34 = $1058.50

∴ emily ruth's annual premium is $1058.50