Chapter 5: Exercises with Solutions

524 Chapter 5 Quadratic Functions32. A stone is hurled downward fromabove the surface of a distant planet withinitial speed 45 m/s. At then end of 10seconds, the velocity of the stone is 145 m/s.Assuming constant acceleration, find theacceleration of the stone and the distancetraveled in the 10 second time period.33. An object is shot into the air fromthe surface of the earth with an initialvelocity of 180 ft/s. Find the maximumheight of the object and the time it takesthe object to reach that maximum height.Hint: The acceleration due to gravitynear the surface of the earth is well known.34. An object is shot into the air fromthe surface of a distant planet with aninitial velocity of 180 m/s. Find the maximumheight of the object and the timeit takes the object to reach that maximumheight. Assume that the accelerationdue to gravity on this distant planetis 5.8 m/s 2 . Hint: Calculate the time tothe maximum height first.35. A car is traveling down the highwayat 55 mi/h when the driver spots aslide of rocks covering the road aheadand hits the brakes, providing a constantdeceleration of 12 ft/s 2 . How long does ittake the car to come to a halt and howfar does it travel during this time period?36. A car is traveling down the highwayin Germany at 81 km/h when thedriver spots that traffic is stopped in theroad ahead and hits the brakes, providinga constant deceleration of 2.3 m/s 2 .How long does it take the car to cometo a halt and how far does it travel duringthis time period? Note: 1 kilometerequals 1000 meters.37. An object is released from rest atsome distance over the surface of the earth.How far (in meters) will the object fallin 5 seconds and what will be its velocityat the end of this 5 second time period?Hint: You should know the accelerationdue to gravity near the surface ofthe earth.38. An object is released from rest atsome distance over the surface of a distantplanet. How far (in meters) will theobject fall in 5 seconds and what will beits velocity at the end of this 5 secondtime period? Assume the accelerationdue to gravity on the distant planet is13.5 m/s 2 .39. An object is released from rest ata distance of 352 feet over the surfaceof the earth. How long will it take theobject to impact the ground?40. An object is released from rest ata distance of 400 meters over the surfaceof a distant planet. How long will it takethe object to impact the ground? Assumethat the acceleration due to gravityon the distant planet equals 5.3 m/s 2 .41. On earth, a ball is thrown upwardfrom an initial height of 5 meters with aninitial velocity of 100 m/s. How long willit take the ball to return to the ground?42. On earth, a ball is thrown upwardfrom an initial height of 5 feet with aninitial velocity of 100 ft/s. How long willit take the ball to return to the ground?Version: Fall 2007