Which expression could represent the height of a soccer ball as it is in the air after being kicked?(1 point) A. −16t2+4t3 B.9t2+25t C.−16t2+25t+1 D.−16t+9

Option C

Step-by-step explanation:

When an object is in the air, the only force acting on the object will be the gravitational force, so the only acceleration acting on the ball is the gravitational acceleration:

a(t) = -32ft/s^2

Now, for the velocity we integrate over time, and get:

v(t) = ( -32ft/s^2)*t + V0

where V0 is the initial vertical velocity, that it depends on how the ball was kicked.

For the position we integrate again over time:

p(t) = (1/2)*( -32ft/s^2)*t^2 + V0*t + p0

Where p0 is the initial position.

p(t) = (-16ft/s^2)*t^2 + v0*t + p0

Then the only option that fits this model is:

C: -16*t^2 + 25*t + 1.

10/60

step-by-step explanation:

if you divide 10 by 60 the answer is 0.166666 while if you divide or solve the other problems it equals 0.6

answer:

total cost for tiles and paints is $924.  

step-by-step explanation:

we have been given that a community hall is in the shape of a cuboid. the hall is 40m long 15m high and 3m wide.

the paint will be required for 4 walls and ceiling.

let us find area of walls and ceiling.

therefore, the area of walls and ceiling is 1410 square meters.

given: cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. therefore,

therefore, the total painting cost is $564.

tiles will be required for floor. let us find the area of floor.

given: 1m squared floor tiles costs $3. so,

therefore, the total tiles cost is $360.

now let us find combined total cost of tiles and paint.

therefore, the combined total cost of tiles and paint is $924.