Respuesta :
Answer:
Hence, option: B is correct (11.02 seconds)
Step-by-step explanation:
Spencer hits a tennis ball past his opponent. The height of the tennis ball, in feet, is modeled by the equation h(t) = –0.075t2 + 0.6t + 2.5, where t is the time since the tennis ball was hit, measured in seconds.
Now we are asked:
How long does it take for the ball to reach the ground?
i.e. we have to find the value of t such that height is zero i.e. h(t)=0.
[tex]-0.075t2+0.6t+2.5=0[/tex]
or [tex]0.075t^2-0.6t-2.5=0[/tex]
i.e. we need to find the roots of the above quadratic equation.
on solving the equation we get two roots as:
t≈ -3.02377 and t≈11.0238
As time can't be negative; hence we will consider the value of t as t≈11.0238.
Hence it takes 11.02 seconds for the ball to reach the ground.
Hence option B is correct (11.02 seconds).
Answer:
11.02 seconds
Step-by-step explanation:
Given : The height of the tennis ball, in feet, is modeled by the equation [tex]h(t) = -0.075t^2 + 0.6t + 2.5[/tex] where t is the time since the tennis ball was hit, measured in seconds.
To Find: How long does it take for the ball to reach the ground?
Solution:
[tex]h(t) = -0.075t^2 + 0.6t + 2.5[/tex]
Now we are supposed to find How long does it take for the ball to reach the ground , i.e. h = 0
[tex]0 = -0.075t^2 + 0.6t + 2.5[/tex]
[tex]-0.075t^2 + 0.6t + 2.5=0[/tex]
[tex]t=11.02,-3.02[/tex]
So, time cannot be negative
So, it take 11.02 seconds for the ball to reach the ground
