Answer: 3.675 seconds
Step-by-step explanation:
Hi, when the object hits the ground, h=0:
h=−16t^2+48.6t+37.5
0=−16t^2+48.6t+37.5
We have to apply the quadratic formula:
For: ax2+ bx + c
x =[ -b ± √b²-4ac] /2a
Replacing with the values given:
a=-16 ; b=48.6; c=37.5
x =[ -(48.6) ± √(-48.6)²-4(-16)37.5] /2(-16)
x = [ -48.6 ± √ 4,761.96] /-32
x = [ -48.6 ± 69] /-32
Positive:
x = [ -48.6 + 69] /-32 = -0.6375
Negative:
x = [ -48.6 - 69] /-32 = 3.675 seconds (seconds can't be negative)
Feel free to ask for more if needed or if you did not understand something.
The object to hit the ground takes 3.675 seconds.
An initial velocity of 48.6 feet per second
When the object hits the ground, h=0:
h=−16t²+48.6t+37.5
0=−16t²+48.6t+37.5
We have to apply the quadratic formula:
For: ax²+ bx + c
x =[ -b ± √b²-4ac] /2a
Substituting with the values given:
a=-16 ; b=48.6; c=37.5
x =[ -(48.6) ± √(-48.6)²-4(-16)37.5] /2(-16)
x = [ -48.6 ± √ 4,761.96] /-32
x = [ -48.6 ± 69] /-32
Positive:
x = [ -48.6 + 69] /-32 = -0.6375
Negative:
x = [ -48.6 - 69] /-32 = 3.675 seconds (seconds can't be negative)
For such more questions on object
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helppppppppppppppppp
p = 9 becsude 9 x 9 = 81 so yeah
A line graph would best represent the temperature changes throughout the hours of a day, showing a slow increase in the morning, a sharp rise at noon, a plateau in the afternoon, and a slight decrease at night.
The best graph to represent the temperature changes throughout the hours of a day would be a line graph. The graph should show a slow increase in temperature early in the morning, a sharp rise at noon, a plateau during the afternoon, and a slight decrease as night falls. This pattern follows the circadian rhythm, where temperature rises throughout the waking day, peaks in the afternoon, and falls during sleep.
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Answer:
Temperature changes throughout the hours of a day. Early in the morning, temperature increases slowly. At noon, the temperature rises sharply. During the afternoon, the temperature stays the same for several hours. As night falls, the temperature decreases slightly. Choose the graph that best represents this situation,
Step-by-step explanation:
the answer is D
F'(x) using first principle