Answer:
472.2 km
Step-by-step explanation:
H=+15 m
v=+5 m/s
Ball hits the ground when h(t)=-15m
h(t)=-9.8t^2+vt+h
=>
-15=-9.8t^2+5t+15
9.8t^2-5t-30=0
Solve for t, using quadratic formula,
t=-1.513 or t=2.023
reject negative root due to context, so
t=2.023 seconds
2)
h(t)=-16t^2+20t+8
a. height before pitch is when t=0, or h(0)=8
b. highest point reached when h'(t)=-32t+20=0 => t=5/8 seconds
c. highest point is t(5/8)=-16(5/8)^2+20(5/8)+8=47/5=9.4 m
d. ball hits ground when h(t)=0 => solve t for h(t)=0
=> t=-0.3187 seconds or t=1.569 seconds.
Reject negative root to give
time to hit ground = 1.569 since ball was pitched.
Answer:
35 degrees
Step-by-step explanation:
Degrees in a triangle: 180
Assume Angle C = 90 degrees
180-55-90 = 35 degrees
First you divide 439.92 by 15.6 and you get 28.2 which is how many miles per gallon that you are getting. Then you take 28.2 and multiply it by how many gallons that it says (39.7) The final answer is 1119.54
