Question

Deon throws a ball into the air. The height h of the​ ball, in​ meters, at time t seconds is modeled by the function ​h(t)=-5t^2+14t+3 When will the ball hit the​ ground

Answer 1

Answer:

The time the ball will hit the ground is 1.4s

Step-by-step explanation:

Given;

function of the ball's motion; h(t)= -5t²+ 14t + 3h

The final velocity of the ball, v , is given as;

v = dh/dt

v = -10t + 14

When the ball hits the​ ground, the final velocity, v = 0

v = -10t + 14

0 = -10t + 14

10t = 14

t = 14 / 10

t = 1.4s

Therefore, the time the ball will hit the ground is 1.4s