Jade and her roommate Jari commute to work each morning, traveling west on I-10. One morning Jade left for work at 6:45 A.M., bu
t Jari left 15 minutes later. Both drove at a constant speed. The following graphs show the distance (in miles) each of them has traveled on I-10 at time t (in minutes), where t = 0 is 7:00 A.M.
1 answer:
Answer:
Jari
Explanation:
The question requires to know who is traveling faster. This is done by comparing the gradients. The steeper the slope (high gradient), the faster the speed and vice versa.
From Jari's line, the starting point is (0, 0) and another point is (6, 7)
The gradient being change in y to change in x
Change in y=7-0=7
Change in x=6-0=6
Slope is 7/6
For Jade, first point is (0, 10) then another point is (6, 16)
Change in y=16-10=6
Change in x=6-0=6
Slope is 6/6=1
Clearly, 7/6 is greater than 6/6 or 1 hence Jari is faster than Jade
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Impulse on the object: -20 kg m/s
Explanation:
The impulse exerted on an object is a vector quantity equal to the product between the force exerted on the object and the time interval during which the force is applied.
The impulse exerted on an object is also equal to its change in momentum. Mathematically,
where:
m is the mass of the object
u is the initial velocity
v is the final velocity
For the object in this problem, we have
m = 5 kg
u = +6 m/s
v = +2 m/s
Therefore, its impulse is:
The negative sign means the direction of the impulse is opposite to the direction of motion of the object.
Learn more about impulse:
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