Problem Solving Equations Essay

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Equations and Problem-Solving

* An plane accelerates straight down a runway at several. 20 m/s2 for 32. almost eight s until is finally lifts off the ground. Determine the space travelled before take-off.

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Solutions

Given: a = +3. 2 m/s2| to = thirty-two. 8 s| vi = zero m/s

| Find: d =??

d = VI*t + 0. 5*a*t2

m = (0 m/s)*(32. 8 s) + 0. 5*(3. 20 m/s2)*(32. 8 s)2

d sama dengan 1720 meters

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Equations and Problem-Solving

* A car starts from rest and accelerates uniformly over a moments of 5. twenty-one seconds for any distance of 110 meters. Determine the acceleration of the car.

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Solutions

Given: d = 110 m| t = 5. 21 s| vi = 0 m/s

| Get: a sama dengan??

d = VI*t + 0. 5*a*t2

110 m = (0 m/s)*(5. 21 years old s) & 0. 5*(a)*(5. 21 s)2

110 m = (13. 57 s2)*a

a sama dengan (110 m)/ (13. 57 s2)

a = 8. 10 m/ s2

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Equations and Problem-Solving

* Rocket-powered sleds are used to test the human response to speeding. If a rocket-powered sled is accelerated into a speed of 444 m/s in 1 ) 8 just a few seconds, then what is the velocity and what is the distance the sled trips?

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Alternatives

Given: vi = 0 m/s| vf = 44 m/s| t = 1 . 80 h

| Find: a =?? d =??

a = (Delta v)/t

a = (444 m/s - 0 m/s)/ (1. 80 s)

a sama dengan 247 m/s2

d = VI*t & 0. 5*a*t2

d sama dengan (0 m/s)*(1. 80 s) + 0. 5*(247 m/s2)*(1. 80 s)2

d = 0 m + four hundred m

g = four hundred m

(Note: the d can also be computed using the formula vf2 = vi2 + 2*a*d) -------------------------------------------------

Equations and Problem-Solving

5. A kangaroo is capable of jumping into a height of 2. 62 meters. Determine the take-off acceleration of the kangaroo.

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Solutions

Given: a = -9. 8 m/s2| vf = 0 m/s| g = 2 . 62 meters

| Locate: VI =??

vf2 =...

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