Question

Crickets can jump with a vertical velocity of up to 14 ft/s. Which equation models the height of such a jump, in feet, after t seconds?
h(t) = –16t2 + v0t + h0

Answer 1

Answer:

14

Step-by-step explanation:

Answer 2

Question:

Crickets can jump with a vertical velocity of up to 14 ft/s. Which equation models the height of such a jump, in feet, after t seconds?

h(t) = –16t2 + v0t + h0

A)  h(t) = –16t2 + v0t + 14

B)  h(t) = –16t2 + 14t

C) h(t) = –16t2 + 14t + 14

Answer:

Option B : $h(t)=-16 t^{2}+14 t$ is the equation

Explanation:

It is given that crickets can jump with a vertical velocity of up to 14 ft/s.

It is also given that the equation that models the height of a jump after t seconds is given by

$h(t)=-16 t^{2}+v_{0}(t)+h_{0}$

where $v_{0}$ is the initial velocity  

$h_{0}$ is the initial height

Since, it is given that $v_{0}=14$ and $h_{0}=0$

Substituting these values in the equation $h(t)=-16 t^{2}+v_{0}(t)+h_{0}$ , we get,

$h(t)=-16 t^{2}+14 t+0$

$h(t)=-16 t^{2}+14 t$

Thus, the equation is $h(t)=-16 t^{2}+14 t$

Hence, Option B is the correct answer.

Learn more:

(1) A tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an initial speed of 110 feet per second. After how many seconds does the ball attain its maximum height?

A) 2.87 sec

B) 3.44 sec

C) 4.65 sec

D) 5.41 sec

brainly.in/question/7059026

(2) Jerald jumped from a bungee tower. If the equation that models his height, in feet, is h = –16t2 + 729, where t is the time in seconds, for which interval of time is he less than 104 feet above the ground?

brainly.in/question/12827029