Question

At the same time, Min’s little brother throws a baseball from a height of 4 feet with an initial vertical velocity of 20 feet per second. What polynomial models the height of this ball, in feet?

Answer 1

Answer:

h(t) = -16t²+20t+4

Step-by-step explanation:

These equations are of the form

h(t) = -16t²+v₀t+h₀, where -16 is 1/2 the constant due to gravity, v₀ is the initial velocity and h₀ is the initial height.

Our initial velocity is 20 and our initial height is 4; this gives us

h(t) = -16t²+20t+4

Answer 2

Answer:

$h(t) = -16t^2+20t+4$

Step-by-step explanation:

The general form of equation for height

$h(t) = -16t^2+v_0t+h_0$

Where -16 is 1/2 the constant due to gravity

v₀ is the initial velocity

h₀ is the initial height.

Now we are given

Min’s little brother throws a baseball from a height of 4 feet with an initial vertical velocity of 20 feet per second.

So,  v₀ = initial velocity = 20 ft/sec

h₀ = initial height= 4 feet

substitute the values in the equation:

$h(t) = -16t^2+20t+4$

Hence t polynomial models the height of this ball, in feet is $h(t) = -16t^2+20t+4$