a kicker punts a football from 3 feet above the ground with an initial velocity of 47 feet
per second
write an equation that gives the height (in feet) of the football as a function of the time
in seconds) since it was punted.

Step-by-step explanation:

The height of the ball from the ground is 3ft. The initial velocity of the ball is 47 feet per second.

The height which the ball travels can be gotten from Newton's equation of motion,

h = ut + 1/2at^2

h = total height which the ball attains from the ground.

u = 47ft per second. initial velocity of the of the ball when it was kicked.

t = time it takes to attain the height

a = acceleration due to gravity and it is negative in this case since the ball is moving upwards against gravity. Let us assume acceleration due to gravity to be -32.17405 ft/s^2

h = 47t - 1/2 × 32.17405t^2

h = 47t -16.087025t^2

Since the ball was 3 feet above the ground,

h(t) = 47t -16.087025t^2 + 3

where r the answers

step-by-step explanation:

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500