<p> Practice Math Problems for chapter 6 (You need to be able to do these WITHOUT looking at the formula triangles and NO calculators)</p><p>1. If an object travels 10 m in 0.5 seconds. What was the object’s speed?</p><p>Speed = distance ÷ time</p><p>Speed = 10 m ÷ 0.5 s</p><p>Speed = 20 m/s</p><p>2. If an object travels at 82 m/s how far will it travel in 5.3 seconds? Distance = speed × time</p><p>Distance = 82 m/s × 5.3 s </p><p>Distance = 434.6 m</p><p>3. How long will it take an object to travel 65 m if it is traveling at 4 m/s?</p><p>Time = distance ÷ speed</p><p>Time = 65 m ÷ 4 m/s Time = 16.25 s 4. If car speeds up from 1.5 m/s to 6.4 m/s in 3 seconds, find the acceleration.</p><p>Acceleration = (Velocityf - Velocityi) ÷ time</p><p>Acceleration = (6.4 m/s – 1.5 m/s) ÷ 3 s</p><p>2 Acceleration = (4.9 m/s) ÷ 3 s = 1.63 m/s</p><p>5. An object is dropped. Ignoring air resistance how fast is it moving at the end of 4 seconds?</p><p>∆Velocity = gravity x time</p><p>∆ velocity = velocityfinal – velocityinitial Vf – Vi = gravity x time</p><p>2 Vf – 0 m/s = 9.8 m/s × 4 s</p><p>Vf = 39.2 m/s</p><p>6. If an object was dropped and is now moving at 29.4 m/s. How long was it falling for?</p><p> time = ∆Velocity ÷ gravity</p><p>∆ velocity = velocityfinal – velocityinitial Time = (Vf – Vi) ÷ gravity </p><p>Time = (29.4 m/s – 0 m/s) ÷ 9.8 m/s</p><p>Time = 3 s</p><p>7. Find the force necessary to cause a 2.3 kg object to accelerate at 7.2 m/s2.</p><p>Force = mass x acceleration Force = 2.3 kg x 7.2 m/s2 Force = 16.56 N</p><p>8. If a 15 N force acts on a 4 kg object, what will the objects acceleration be?</p><p>Acceleration = Force ÷ mass A = 15 N ÷ 4 kg</p><p>A = 3.75 m/s2</p><p>9. If a 27 N force causes an object to accelerate at 40.5 m/s2, what was the object’s mass?</p><p>Mass = force ÷ acceleration</p><p>2 Mass = 27 N ÷ 40.5 m/s</p><p>Mass = 0.67 kg</p><p>10. An object has 7 kg of mass and is moving 4 m/s. Find momentum. Momentum = mass x velocity P = m x v P = 7 kg x 4 m/s P = 28 kg m/s</p><p>11. An object has 51 kg m/s of momentum. If the mass is 17 kg find the velocity of the object.</p><p>Velocity = momentum ÷ mass</p><p>V = p ÷ m</p><p>V = 51 kg m/s ÷ 17 V = 3 m/s</p><p>12. An object has 92 kg m/s of momentum. If the velocity of the object is 4 m/s. find the mass of the object.</p><p> mass = momentum ÷ velocity</p><p> m = p ÷ v</p><p> m = 92 kg m/s ÷ 4 m = 23 kg</p><p>13. Find the weight of a 50 kg object on earth.</p><p>Weight = mass x gravity W = m x g W = 50 kg x 9.8 m/s2 W = 490 N</p>