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TOPIC – MOTION ( LEVEL- IIT/AIEEE/CBSE-HOTS) 1. A ball is thrown off the top of a 50 m cliff at an angle of 30 degrees with a velocity of 22 m/s. How long is the ball in the air in s? How far from the base of the cliff does the ball land in m? What is the maximum height reached by the ball in m? 2. While descending at a constant speed of 1.0 m/s, a scuba diver releases a cork, which accelerates upward at 3.0 m/s2. What is the diver’s depth when the cork reaches the surface 2.0 s later? 3. A car with a velocity of 27 m/s slows down at a rate of - 8.5 m/s2 to a stop in a distance of 43 m on a dry road. The same car traveling at 27 m/s slows down at a rate of -6.5 m/s2 to a stop on a wet road. a. How much farther does the car travel on the wet road before coming to a stop? b. What maximum car speed will allow the car traveling on the wet road to stop in a distance of 43 m? 4. A car traveling at 14 m/s encounters a patch of ice and takes 5.0 s to stop. a. What is the car’s acceleration? b. How far does it travel before stopping? 5. An accelerating lab cart passes through two photo gate timers 3.0 m apart in 4.2 s. The velocity of the cart at the second timer is 1.2 m/s. a. What is the cart’s velocity at the first gate? b. What is the acceleration? 6. 4. An accelerating lab cart passes through two photo gate timers 3.0 m apart in 4.2 s. The velocity of the cart at the second timer is 1.2 m/s. a. What is the cart’s velocity at the first gate? b. What is the acceleration? 7. A projectile is fired an angle x at a speed v_o. The point it is fired from also happens to be the start of an incline which is at an angle y (x>y). Determine the distance up the incline where the projectile lands. 8. A baseball is thrown straight up into the air. It passes point A with the speed v and point B at a distance d higher with the speed of v/2.How much higher will the ball rise before falling? ( Hint: you dont need to do any calculations)9. A rock is dropped off of a high cliff. The sound of it striking the ocean is heard a time T later. Assume the speedof sound is V_sound. Determine the height of the cliff. 10. A projectile is fired with speed V_o at angle x. Find the maximum value of x such that the projectiles distance from the origin is alwaysincreasing up until the time when it hits the ground.11. Ima Hurryin is approaching a stoplight moving with a velocity of +30.0 m/s. The light turns yellow, and Ima applies the brakes and skids to astop. If Imas acceleration is -8.00 m/s2, then determine the displacement of the car during the skidding process. 12. Ben Rushin is is waiting at a stoplight. When it finally turns green, Ben accelerated from rest at a rate of a 6.00 m/s 2 for a time of 4.10 seconds. Determine the displacement of Bens car during this time period.13. An airplane accelerates down a runway at 3.20 m/s2 for 32.8 s until is finally lifts off the ground. Determine the distance traveled beforetakeoff.14. An airplane accelerates down a runway at 3.20 m/s2 for 32.8 s until is finally lifts off the ground. Determine the distance traveled beforetakeoff.15. Upton Chuck is riding the Giant Drop at Great America. If Upton free falls for 2.6 seconds, what will be his final velocity and how far willhe fall?16. A race car accelerates uniformly from 18.5 m/s to 46.1 m/s in 2.47 seconds. Determine the acceleration of the car and the distance traveled.17. A feather is dropped on the moon from a height of 1.40 meters. The acceleration of gravity on the moon is 1.67 m/s2. Determine the time forthe feather to fall to the surface of the moon.18. Rocket-powered sleds are used to test the human response to acceleration. If a rocket-powered sled is accelerated to a speed of 444 m/s in 1.8seconds, then what is the acceleration and what is the distance which the sled travels?19. A bike accelerates uniformly from rest to a speed of 7.10 m/s over a distance of 35.4 m. Determine the acceleration of the bike. www.anuragtyagiclasses.com
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TOPIC – MOTION ( LEVEL- IIT/AIEEE/CBSE-HOTS)20. An engineer is designing the runway for an airport. Of the planes which will use the airport, the lowest acceleration rate is likely to be 3 m/s2.The takeoff speed for this plane will be 65 m/s. Assuming this minimum acceleration, what is the minimum allowed length for the runway?21. A car traveling at 22.4 m/s skids to a stop in 2.55 s. Determine the skidding distance of the car (assume uniform acceleration). A car travelingat 22.4 m/s skids to a stop in 2.55 s. Determine the skidding distance of the car (assume uniform acceleration).22.A kangaroo is capable of jumping to a height of 2.62 m. Determine the takeoff speed of the kangaroo.23.If Michael Jordan has a vertical leap of 1.29 m, then what is his takeoff speed and his hang time (total time to move upwards to the peakand then return to the ground)?25.A bullet leaves a rifle with a muzzle velocity of 521 m/s. While accelerating through the barrel of the rifle, the bullet moves a distanceof 0.840 m. Determine the acceleration of the bullet (assume a uniform acceleration).26. A baseball is popped straight up into the air and has a hang-time of 6.25 s. Determine the height to which the ball rises before itreaches its peak. (Hint: the time to rise to the peak is one-half the total hang-time.)27.The observation deck of tall skyscraper 370 m above the street. Determine the time required for a penny to free fall from the deck to thestreet below.28. A bullet is moving at a speed of 367 m/s when it embeds into a lump of moist clay. The bullet penetrates for a distance of 0.0621 m.Determine the acceleration of the bullet while moving into the clay. (Assume a uniform acceleration.)29.A stone is dropped into a deep well and is heard to hit the water 3.41 s after being dropped. Determine the depth of the well.30. It was once recorded that a Jaguar left skid marks which were 290 m in length. Assuming that the Jaguar skidded to a stop with aconstant acceleration of -3.90 m/s2, determine the speed of the Jaguar before it began to skid.31. A plane has a takeoff speed of 88.3 m/s and requires 1365 m to reach that speed. Determine the acceleration of the plane and the timerequired to reach this speed.32 A dragster accelerates to a speed of 112 m/s over a distance of 398 m. Determine the acceleration (assume uniform) of the dragster.33.With what speed in miles/hr (1 m/s = 2.23 mi/hr) must an object be thrown to reach a height of 91.5 m (equivalent to one football field)?Assume negligible air resistance.34 .A pool ball leaves a 0.60-meter high table with an initial horizontal velocity of 2.4 m/s. Predict the time required for the pool ballto fall to the ground and the horizontal distance between the tables edge and the balls landing location.35. A soccer ball is kicked horizontally off a 22.0-meter high hill and lands a distance of 35.0 meters from the edge of the hill.Determine the initial horizontal velocity of the soccer ball. 36. A football is kicked with an initial velocity of 25 m/s at an angle of 45-degrees with the horizontal. Determine the time of flight,the horizontal distance, and the peak height of the football.37 .A long jumper leaves the ground with an initial velocity of 12 m/s at an angle of 28-degrees above the horizontal. Determine thetime of flight, the horizontal distance, and the peak height of the long-jumper.38. A long jumper leaves the ground with an initial velocity of 12 m/s at an angle of 28-degrees above the horizontal. Determine the time offlight, the horizontal distance, and the peak height of the long-jumper. 39. A motor boat traveling 4 m/s, East encounters a current traveling3.0 m/s, North. a. What is the resultant velocity of the motor boat? b. If the width of the river is 80 meters wide, then how much time does it take the boat to travel shore to shore? c. What distance downstream does the boat reach the opposite shore? 40. A motor boat traveling 4 m/s, East encounters a current traveling 7.0 m/s, North. a. What is the resultant velocity of the motor boat? b. If the width of the river is 80 meters wide, then how much time does it take the boat to travel shore to shore? c. What distance downstream does the boat reach the opposite shore? www.anuragtyagiclasses.com
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TOPIC – MOTION ( LEVEL- IIT/AIEEE/CBSE-HOTS)41.. A plane can travel with a speed of 80 mi/hr with respect to the air. Determine the resultant velocity of the plane (magnitude only) if itencounters a a. 10 mi/hr headwind. b. 10 mi/hr tailwind. c. 10 mi/hr crosswind. d. 60 mi/hr crosswind. 42. A motor boat traveling 5 m/s, East encounters a current traveling 2.5 m/s, North. a. What is the resultant velocity of the motor boat? b. If the width of the river is 80 meters wide, then how much time does it take the boat to travel shore to shore? c. What distance downstream does the boat reach the opposite shore? 43. A motor boat traveling 5 m/s, East encounters a current traveling 2.5 m/s, South. a. What is the resultant velocity of the motor boat? b. If the width of the river is 80 meters wide, then how much time does it take the boat to travel shore to shore? c. What distance downstream does the boat reach the opposite shore? 44. A motor boat traveling 6 m/s, East encounters a current traveling 3.8 m/s, South. a. What is the resultant velocity of the motor boat? b. If the width of the river is 120 meters wide, then how much time does it take the boat to travel shore to shore? c. What distance downstream does the boat reach the opposite shore? 45. If the current velocity in question #4 were increased to 5 m/s, then a. how much time would be required to cross the same 120-m wide river? b. what distance downstream would the boat travel during this time? 46. A plane flies northwest out of OHare Airport in Chicago at a speed of 400 km/hr in a direction of 150 degrees (i.e., 30 degrees north of west). The Canadian border is located a distance of 1500 km due north of Chicago. The plane will cross into Canada after approximately ____ hours. a. 0.13 b. 0.23 c. 0.27 www.anuragtyagiclasses.com
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TOPIC – MOTION ( LEVEL- IIT/AIEEE/CBSE-HOTS) d. 3.75 e. 4.33 f. 6.49 g. 7.50 h. None of these are even close.47. Suppose that the plane in question 1 was flying with a velocity of 358 km/hr in a direction of 146 degrees (i.e., 34 degrees north ofwest). If the Canadian border is still located a distance of 1500 km north of Chicago, then how much time would it take to cross theborder? 48. TRUE or FALSE: A boat heads straight across a river. The river flows north at a speed of 3 m/s. If the river current was greater, then the time required for the boat to reach the opposite shore would not change. a. True b. False 50. A boat begins at point A and heads straight across a 60-meter wide river with a speed of 4 m/s (relative to the water). The river water flows north at a speed of 3 m/s (relative to the shore). The boat reaches the opposite shore at point C. Which of the following would cause the boat to reach the opposite shore at a location SOUTH of C? a. The boat heads across the river at 5 m/s. b. The boat heads across the river at 3 m/s. c. The river flows north at 4 m/s. d. The river flows north at 2 m/s. e. Nonsense! None of these affect the location where the boat lands. www.anuragtyagiclasses.com
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