Answer:
<h3>YES</h3>
Step-by-step explanation:
Given the position of the particle expressed using the expression;
x(t)= 5t^3 - 9t^2 + 7 where;
x moves along the positive x-axis
when t = 1
x(1) = 5(1)^3 - 9(1)^2 + 7
x(1) = 5 - 9 + 7
x(1) = -4 + 7
x(1) = 3
<em>Since the position of the particle is positive at t = 1, hence the particle is moving towards the right at time t = 1</em>
It takes 9 seconds to hit the ground.
Setting the equation equal to 0, we have:
0 = 144 + 128t - 16t²
Factoring out the GCF, we have
0 = 16(9 + 8t - t²)
Factoring out -1, we have:
0 = -16(-9 - 8t + t²)
In standard form, this is
-16(t² - 8t - 9) = 0
This is easily factorable; -9(1) = -9 and -9+1 = -8:
-16(t-9)(t+1) = 0
Using the zero product property, we know either t-9=0 or t+1=0; therefore t=9 or t=-1. Since negative time makes no sense, t=9.
59 meters kkStep-by-step explanation:
Answer:
33 ft
Step-by-step explanation:
330 ÷ 10 = 33
The angle shown is a right angle, with a known angle of 76
90-76 is 24
x is equal to 24
