Mei throws a snowball from a starting height of 10 feet, with an initial velocity of 12 feet per second. which of the following equations shows the path of the snowball? h(t) = −16t2 + 12t + 10 h(t) = −16t2 + 10t + 12 h(t) = −16t2 + 22t h(t) = −16t2 + 22

The form of the equation for ballistic motion with units in feet and seconds is

Your problem statement tells you the initial velocity v₀ is 12 ft/s and the initial height h₀ is 10 ft. Substituting these values into the form above gives

... H(t) = -16t² +12t +10 . . . . . . corresponds to the 1st selection

A is correct.

Step-by-step explanation:

Mei throws a snowball from a starting height of 10 feet.

We have motion equation if throws up

where,

We need to find the the path of snowball whose initial height 10 feet and initial velocity is 12 feet per second.

Substitute h and v into formula

Hence, The path of snowball is

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).