Answer:
3
Step-by-step explanation:
Using the work rate formula (1/Holly's time) + (1/Jasper's time which is twice of Holly's time) = 1/ Total time taken by both
Answer:
1. g
2. a
3. d
4. b
Step-by-step explanation:
If you can't do these in you head or on a graph, you can always let your calculator do it.
When adding vectors put the tail of one at the nose of the other. When subtracting, add the opposite. When adding or subtracting a multiple, just do the repeated addition or subtraction.
Given
d(t)=-16t^2-4t+382
1. times at which rock is 310 from ground
solve d(t)=310=-16t^2-4t+382
=>
16t^2+4t-72=0
t=(-4+/-sqrt(4^2+4*16*72)/(2*16)
=> t=-9/4 or t=2
Reject negative root from context, so
time=2 seconds.
2.
maximum is when d'(t)=0, or
-32t-4=0 => t=-1/8
Therefore rock was descending since t=0 (can also see from -4t, i.e. initial velocity is -4 ft/s)
Rock reaches ground when d(t)=0, i.e.
-16t^2-4t+382=0
t=-5.01 or t=4.763 seconds. reject negative root.
Therefore, domain, t=0 to 4.763 seconds
range = 0 to 382 ft
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After turning 90 degrees from east he is now at SOUTH.