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reaches a velocity of 71.0 m/s when it takes off. What must its acceler- 13. An

ID: 1878420 • Letter: R

Question

reaches a velocity of 71.0 m/s when it takes off. What must its acceler- 13. An airplane 14. An airplane accelerates at 3,00 m/s from a velocity of 21.0 m/s over a distance of 15. ation be if the runway is 1.00 km long? 535 m. What is its final velocity? A bullet is fired vertically upward and reaches a height of 2150 m. (a) Find its ini- tial velocity. (b) How long does it take to reach its maximum height? (c) How long is it in flight? A rock is thrown down with an initial speed of 10.0 m/s from a bridge to the water below. It takes 2.75 s for the rock to hit the water. (a) Find the speed of the rock as it hits the water. (b) How high is the bridge above the water? 16.

Explanation / Answer

13) Use equation of kinematics

v2 - u2 = 2ad

1 km = 1000 m

712 - 0 = 2*a*1000

a = 2.5205 m/s2

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14. Again use the above equation

  v2 - u2 = 2ad

v2 - 212 = 2*3*535

v = 60.42 m/s

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15. again use the same equation

  v2 - u2 = 2ad

02 - u2 = 2*(-9.8)*2150

(a) Initial velocity (u) = 205.3 m/s

(b) Time taken to reach 2150 m

v = u + at

0 = 205.3 + (-9.8)t

t = 20.94 seconds

(c) Total time in air ( going up and then coming down) = 2*t = 41.89 sec

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As per chegg guidelines, we should solve only one question but I have solved 3 to make you understand the concept. Now, you can solve the last question easily.

Hint for question 16. Use v = u + at

here v = 0 , u = 10 m/s, a = 9.8 m/s2 ( a is not negative as rock is going towards the earth)

solve for t.