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Chapter 2 Extra Review
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1. An object starts from rest and accelerates at 2
1. An object starts from rest and accelerates at 2.5 m/s2 for 15 seconds. What is its final velocity?
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v = v0 + at v = (15) v = 37.5 m/s
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2. A car is moving east at 35 m/s
2. A car is moving east at 35 m/s. If it accelerates at 20 m/s2 for a period of 22 seconds, what is its final velocity?
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v = v0 + at v = 35 + 20(22) v = 475 m/s east
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3. A ball is dropped from the top of a building
3. A ball is dropped from the top of a building. How fast is the ball falling after 5 seconds?
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v = v0 + gt v = (5) v = 50 m/s
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4. How far does the object in question 1 move over the 15 second period?
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x = v0 t + ½ at2 x = 0(15) + ½ 2.5(15)2 x = 281 m
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5. What is the total displacement of the car in question 2?
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x = v0 t + ½ at2 x = 35(22) + ½ 20(22)2 x = 5610 m east
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6. The ball in question 3 hits the ground after 10 seconds
6. The ball in question 3 hits the ground after 10 seconds. How tall is the building?
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y = v0 t + ½ gt2 y = 0(10) + ½ 10(10)2 y = 500 m
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7. A bottle rocket is launched horizontally and accelerates at 21 m/s2
7. A bottle rocket is launched horizontally and accelerates at 21 m/s2. What is its velocity when it is 300 meters from its launch point?
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v2 = v02 + 2ax v2 = (21)300 v2 = v = 112 m/s
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8. A base jumper falls until he reaches a speed of 200 m/s
8. A base jumper falls until he reaches a speed of 200 m/s. How far must he fall to reach that speed?
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v2 = v02 + 2gy 2002 = (10)y y = 2000 m
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9. A rock is thrown upward at a velocity of 100 m/s
9. A rock is thrown upward at a velocity of 100 m/s. How high does the rock ascend?
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v2 = v02 + 2gy 02 = (-10)y y = 500 m
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10. How long does it take the rock in question 9 to reach its peak height?
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v = v0 + at 0 = (-10)t t = 10 s
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11. How long is the rock in questions 9 and 10 in the air?
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The amount of time it takes to fall from the peak is the same as the time to reach the peak, so: 10 s X 2 = 20 s.
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12. A car is moving 200 m/s. The driver hits the brakes and the car slows to a stop in 5 seconds. What is the acceleration?
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v = v0 + at 0 = a(5) a = -40 m/s2
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13. How far does the car in question 12 travel while slowing to a stop?
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x = v0 t + ½ at2 x = 200 (5) + ½ -40(5)2 x = 500 m
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OR v2 = v02 + 2ax 02 = (-40)x x = 500 m
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14. A ball rolls down a ramp with uniform acceleration
14. A ball rolls down a ramp with uniform acceleration. It travels 20 meters in 4 seconds. What is the acceleration?
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x = v0 t + ½ at2 20 = 0 (4) + ½ a(4)2 a = 2.5 m/s2
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15. A dog accelerates from a 2 m/s stroll to a 20 m/s run in 2 seconds
15. A dog accelerates from a 2 m/s stroll to a 20 m/s run in 2 seconds. What is the acceleration?
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v = v0 + at 20 = 2 + a(2) a = 9 m/s2
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16. How far does the dog in question 15 travel during the acceleration?
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x = v0 t + ½ at2 x = 2 (2) + ½ 9(2)2 x = 22 m
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OR v2 = v02 + 2ax 202 = (9)x x = 22 m
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