Kinematics Questions and Answers

A soccer ball is kicked with a velocity of 30m/s at a 30 degree angle. How far will the ball travel? 1. What is the velocity of the ball? 2. What is the degree the ball is launched? 3. What is the value of gravity? 4. What is the range the ball travels?

A swimmer heading directly across a river 200 m wide reaches the opposite bank in 1 min 40 s. She is swept downstream 480 m. How fast can she swim in still water? 1.2 m/s 1.4 m/s 0.50 m/s 2.0 m/s 0.80 m/s

A block is given an initial speed of 4.0 m/s up an incline of 22.0°. a) How far up the plane will it go? b) How much time elapses before it returns to its starting point? Ignore friction.

An airplane drops a supply out of its storage while in flight. If the plane was traveling at 150m/s and it landed 600m away in the x-direction from the dropping point, what was the altitude of the plane? (ignore air resistance and wind)

A plane is headed eastward at a speed of 156 m/s. A 20.0 m/s wind is blowing northward at the same time as the plane is flying. The velocity of the plane relative to the ground is 157 m/s at an angle 7.31° north of east. 155 m/s at an angle 7.36° cast of south. 155 m/s at an angle 7.36° south of cast. 157 m/s at an angle 7.36° south of cast. 157 m/s at an angle 7.31° south of east.

A student standing on the ground throws a ball straight up. The ball leaves the student's hand with a speed of 16.0 m/s when the hand is 2.50 m above the ground. You may want to review (Pages 49-51). For help with math skills, you may want to review: Part A Review How long is the ball in the air before it hits the ground? (The student moves her hand out of the way.

A cat chases a mouse across a 0.65 m high table. The mouse steps out of the way, and the cat slides off the table and strikes the floor 2.7 m from the edge of the table. The acceleration of gravity is 9.81 m/s². What was the cat's speed when it slid off the table? Answer in units of m/s.

A jet airliner moving initially at 687 mph (with respect to the ground) to the east moves into a region where the wind is blowing at 730 mph in a direction 70° north of east. What is the new speed of the aircraft with respect to the ground? Answer in units of mph.

A train locomotive pulls a train with a mass of 1.00 x 107 kg on level rails. The locomotive exerts a constant force of 7.70 x 105 N on the train. How much time does it take to increase the speed of the train from rest to 68.0 km/h? (Ignore any resistance force from the rails on the wheels of the train. Enter your answer in minutes.)

One strategy in a snowball fight is to throw a snowball at a high angle over level ground. While your opponent is watching this first snowball, you throw a second snowball at a low angle and time it to arrive at the same time as the first. Assume both snowballs are thrown with the same initial speed 11.4 m/s. The first snowball is thrown at an angle of 65° above the horizontal. At what angle should you throw the second snowball to make it hit the same point as the first? Note the starting and ending heights are the same. The acceleration of gravity is 9.8 m/s². 007 (part 2 of 2) 10.0 points How many seconds after the first snowball should you throw the second so that they arrive on target at the same time?

[2] A plane takes off with a velocity of 28 m/s and stays on this vector for 25 seconds. [a] how high is the plane after 25 seconds? [b] how far downrange [horizontally] does the plane travel after 25 seconds?

A car has a mass of 1500 kg. If the driver applies the brakes while on a gravel road, the maximum friction force that the tires can provide without skidding is about 7000 N. If the car is moving at 21 m/s, what is the shortest distance in which the car can stop safely? Express your answer with the appropriate units.

A sphere of mass 100 grams is rotated at uniform angular velocity 2rads-¹ along a circle of radius 1.25m in horizontal plane with help of light horizontal string. The tension in the string is A 0.25N B 1.5N C 2.5N D 0.5N

A police man is running towards a thief with a constant acceleration of 0.1m/s². At a particular instant t = 0, the policeman is 20m behind the thief and at that instant the velocity of policman is 4m/s. At this instant the thief observes, the policeman coming towards him. So, he starts running away from the policemen in the same direction with a constant acceleration. Then what is the minimum constant acceleration with which the thief should run so that he is not caught? A 0.2m/s² B 0.4m/s² C 0.5m/s²

A car is said to go "zero to sixty in six point six seconds". What is its acceleration in m/s²? The driver can't release his foot from the gas pedal (a.k.a. the accelerator). How many additional seconds would it take for the driver to reach 80 mph assuming the acceleration remains constant? A car moving at 80 mph has a speed of 35.8 m/s. What acceleration would it have if it took 5.0 s to come to a complete stop?

Cliff divers at Acapulco jump into the sea from a cliff 31.8 m high. At the level of the sea, a rock sticks out a horizontal distance of 14.57 m. The acceleration of gravity is 9.8m/s². With what minimum horizontal velocity must the cliff divers leave the top of the cliff if they are to miss the rock?

5. While having a water balloon fight in the lobby of a hotel, Ruth and Lauren both throw water balloons off of the 3rd floor balcony, 15 m off the ground. Ruth tosses her ball downward at 15 m/s. Lauren tosses her balloon upwards at 15 m/s. The balloons both free-fall to the ground. a. Which Balloon hits the ground going faster? Support your answer with calculations. b. Which Balloon will reach the ground first? Support your answer with calculations.

A small first-aid kit is dropped by a rock climber who is descending steadily at 1.7 m/s. (a) After 2.2 s, what is the velocity of the first-aid kit? m/s (b) After the 2.2 s, how far is the kit below the climber? m

For horizontally-launched projectiles, which of the following describes acceleration in both directions with a O Acceleration is constant in both directions. O Acceleration is -9.8 m/s2 in both directions. O Acceleration is zero in both directions. O Acceleration is equal in both directions. 0 and ay = −9.8 m/s². (1 point)

An object with an acceleration of 10 m/s2 will. a. move 10 meters in 1 second c. move 100 meters in 10 seconds Circle all that apply. b. change its velocity by 10 m/s in 1 s d. have a velocity of 100 m/s after 10 s Ima Speedin puts the pedal to the metal and increases her speed as follows: 0 mi/hr at 0 seconds; 10 mi/hr at 1 second; 20 mi/hr at 2 seconds; 30 mi/hr at 3 seconds; and 40 mi/hr at 4 seconds. What is the acceleration of Ima's car?

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 distance of 0.840 m. Determine the acceleration of the bullet (assume a uniform acceleration).

) A basketball player who is 2.00 m tall is standing on the floor 10.0 m from the basket, as shown in the figure. If he shoots the ball at a 40.0 degree angle with the horizontal, at what initial speed must he throw so that it goes through the hoop without striking the backboard? The basket height is 3.05m. HINT: This problem is very similar to the stunt bike problem from the lecture. Solve it in a similar way. (35 points)

(1 point) Taran leaves Lincoln at 11:00am. Amadeus leaves Lincoln at noon, traveling in the same direction as Taran. At 4pm Amadeus was 40 miles behind Taran. If Taran traveled 2 miles per hour faster than Amadeus, what was Taran's speed in miles per hour?

A panther jumps to a height of 2.95 m when leaving the ground at an angle of 43.2°. What is its initial speed (in m/s) as it leaves th 12 X What is the velocity at the maximum height? What constant acceleration equation relates the final velocity, initial velocity, height, an the initial velocity? How is this related to the initial speed? m/s

A boy sledding down a hill accelerates at 1.70 m/s². If he started from rest, in what distance would he reach a speed of 5.10 m/s?

A motorcycle with an initial velocity of 11.1 m/s accelerates at a rate of 6.5 m/s for 1.5 seconds. How fast is the motorcycle traveling at the end of this time interval?

A sailboat runs before the wind with a constant speed of 3.5 m/s in a direction 34° north of west. You may want to review (Pages 89 - 92). Part A How far west has the sailboat traveled in 23 min ? Express your answer using two significant figures. VAZO dwest= Submit Part B Request Answer How far north has the sailboat traveled in 23 min ? Express your answer using two significant figures. ? kr

You threw a rock from a cliff directly downward with an initial velocity of -9.6 m/s. If the rock took 8.5 seconds to reach the ground, what is the height of the cliff if air resistance is ignored? (Round your answer to two decimal places)

During a tornado in 2008 the Peachtree Plaza Westin Hotel in downtown Atlanta suffered damage. Suppose a piece of glass dropped near the top of the hotel for 6.5 seconds. Ignoring the air resistance, what is the height of the building? (Round your answer to one decimal place)

A car is traveling along a straight road at a velocity of +30.0 m/s when its engine cuts out. For the next ten seconds the car slows down, and its average acceleration is a₁. For the nex five seconds the car slows down further, and its average acceleration is a2. The velocity of the car at the end of the fifteen-second period is +22.2 m/s. The ratio of the average acceleration values is a₁/₂ = 1.24. Find the velocity of the car at the end of the initial ten-second interval. m/s

A rifle with a barrel length of 60 cm fires a 11 g bullet with a horizontal speed of 450 m/s. The bullet strikes a block of wood and penetrates to a depth of 15 cm. You may need to review (Page). For general problem-solving tips and strategies for this topic, you may want to view a Video Tutor Solution of Ready for takeoff. Part A What resistive force (assumed to be constant) does the wood exert on the bullet? Express your answer with the appropriate units. fx = Part B How long does it take the bullet to come to rest after entering the wood? Express your answer with the appropriate units.

What is the rocket's initial upward acceleration? At an altitude of 5000 m the rocket's acceleration has increased to 7.5 m/s². What mass of fuel has it burned?

A baseball pitcher can throw a ball with a speed of 45.0 m/s. He is in the back of a pickup truck that is driving away from you. He throws the ball in your direction, and it floats toward you at a lazy 8.00 m/s. Part A What is the speed of the truck?

An astronaut travels to a star system 6.5 ly away at a speed of 0.80c. Assume that the time needed to accelerate and decelerate is negligible. You may want to review (Pages 1035-1039). ▸ ▸ Part A Part B Part C How much time elapses in earth between the launch and the arrival of the first radio message from the astronaut saying that she has arrived?

A baseball is thrown horizontally from a height of 9.60 m above the ground with a speed of 57.7 m/s. Where is the ball after 1.40 s have elapsed? The ball is on the ground at a horizontal distance of m from the launch point.

A 740.0 kg boulder is raised from a quarry 115 m deep by a long chain having a mass of 555.0 kg. This chain is of uniform strength, but at any point it can support a maximum tension no greater than 2.60 times its weight without breaking. For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of An air track in a physics lab. Set Up: The maximum tension in the chain is at the top of the chain. Apply F = ma to the composite object of chain and boulder. Use the constant acceleration kinematic equations to relate the acceleration to time. Let +y be upward. T = 2.60W chain mtot = mchain +mboulder = 1295 kg. Solve: EF, a = Part B = may gives T-mtotg = mtota. t = 4.92 2.60(555.0kg) 1295 kg T-mtot9 mtot − 1) (9.80 m/s²) = 1.12 m/s². μA a = 2.60 mchaing-mtotg mtot How long does it take for the boulder to be lifted out at maximum acceleration if it started from rest? Express your answer with the appropriate units. S Submit Previous Answers Request Answer ? 2.60 mchain mtot X Incorrect; Try Again; 8 attempts remaining -1) g

Suppose the position vector for a particle is given as a function of time by r(t) = x(t)î + y(t)ĵ, with x(t) = at + b and y(t) = ct² + d, where a = 1.30 m/s, b = 1.35 m, c = 0.121 m/s2, and d = 1.14 m. (a) Calculate the average velocity during the time interval from t = 2.05 s to t = 4.05 s. (b) Determine the velocity at t = 2.05 s. Determine the speed at t = 2.05 s.

It took Gustavo 10 hours to drive to a football game. On the way home, he was able to increase his average speed by 18 mph and make the return drive in only 7 hours. Find his average speed on the return drive.

An object falls from a high building and hits the ground in 3.0 seconds. Ignoring air resistance, what is the displacement that it fell?

It was once recorded that a Jaguar left skid marks that were 290 m in length. Assuming that the Jaguar skidded to a stop with a constant acceleration of -- 3.90 m/s, determine the speed of the Jaguar before it began to skid Δx= Vi= VI= t= a=

An astronaut stands by the rim of a crater on the Moon, where the acceleration of gravity is 1.62 m/s² and there is no air. To determine the depth of the crater, she drops a rock and measures the time it takes for it to hit the bottom. If the time is 6.3 s, what is the depth of the crater? 10 m 26 m 38 m 32 m 14 m

An object increases its velocity by 23 m/s in 5 seconds. Calculate the acceleration of the object. Be sure your answer has correct units and correctly round your final answer to the 2nd decimal place.

A car travels due east with a speed of 36.0 km/h. Raindrops are falling at a constant speed vertically with respect to the Earth. The traces of the rain on the side windows of the car make an angle of 58.0° with the vertical. Find the velocity of the rain with respect to the car and the earth. (Enter the magnitude of the velocity.) (a) the car (b) the Earth

A cat chases a mouse across a 1.0 m high table. The mouse steps out of the way, and the cat slides off the table and strikes the floor 2.2 m from the edge of the table. When the cat slid off the table, what was its speed? Circle or box the final answer with units! (Keep intermediate answer to 3 sig figs and final answer to 2 sig figs.) For credit you must show all your work list and define variables, write formulas, numbers plugged in, answer rounded correctly with proper units

Sasha traveled 650 meters north in 55 seconds and then traveled 350 meters east in 35 seconds. The magnitude of Sasha's average velocity was most nearly (a) 5.9 m/s (b) 8.2 m/s (c) 9.6 m/s (d) 11 m/s

A shot-putter throws the "shot" (mass = 7.3 kg) with an initial speed of 14.4 m/s at a 34.0° angle to the horizontal. Calculate the horizontal distance traveled by the shot if it leaves the athlete's hand at a height of 2.10 m above the ground.

A brick is thrown upward from the top of a building at an angle of 20° to the horizontal and with an initial speed of 14 m/s. If the brick is in flight for 3.3 s, how tall is the building?

An artillery shell is fired at an angle of 44° above the horizontal ground with an initial speed of 1510 m/s. The acceleration of gravity is 9.8 m/s². Find the range of the shell, neglecting air resistance.

An airplane is heading due south at a speed of 688 km/h. If a wind begins blowing from the southwest at a speed of 90.0 km/h (average), calculate (a) the velocity (magnitude and direction) of the plane, relative to the ground, and (b) how far from its intended position it will be after 11.0 min if the pilot takes no corrective action. [Hint: First draw a diagram.]

1. What is the acceleration of a car that increases its velocity from 0 km/hr to 300 km/hr in 10 seconds? 2. A car is travelling at 100 km/hr and 5 seconds later is travelling at 50 km/hr, what is its acceleration? 3. Who has more acceleration, car "A" 0 to 60 mph in 3 seconds or car "B" 0 to 100 mph in 6 seconds?