Alarge explosion causes wood and metal debris to rise vertically into the air with an initial velocity of 96 feet per second. the function h(t) = 96 t − 16 t 2 gives the height of the falling debris above the ground, in feet, t seconds after the explosion. a) use the given function to find the height of the debris 2 second(s) after the explosion:after 2 second(s), the height is 112 incorrect feet.

the height after 2 seconds will be 128 feet

Step-by-step explanation:

Data provided in the question:

Initial velocity = 96 feet per second

The function of height of falling debris above the ground is given as:

h(t) = 96t - 16t²

A) To find height after time t = 2 seconds

substituting the value of time in the above function, we get

h(t) = 96 × 2 - 16 × 2²

or

h(t) = 192 - 16 × 4

or

h(t) = 192 - 64

or

h(t) = 128 feet

Hence,

the height after 2 seconds will be 128 feet

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