Kinematics Questions and Answers

Halley's comet orbits the Sun roughly once every 76 years. It comes very close to the surface of the Sun on its closest approach (Fig. 5-45). Estimate the greatest distance of the comet from the Sun. Is it still "in" the solar system? What planet's orbit is nearest when it is out there?

The position of a 50 g oscillating mass is given by r(t) = (2.0 cm) cos(10t - π/4), where t is in s. If necessary, round your answers to three significant figures. Determine: The total energy. Express your answer to two significant figures and include the appropriate units.

A student is bouncing on a trampoline. At her highest point, her feet are 45 cm above the trampoline. When she lands, the trampoline sags 15 cm before propelling her back up. Part A For how long is she in contact with the trampoline?

Space exploring astronauts want to measure the gravity on a StRanGe PlaNeT. They throw a rock upward at 8 m/s and it reaches a height of 9 m. Find the acceleration due to gravity on that planet. Express as a positive number.

A fire hose held near the ground shoots water at a speed of 6.5 m/s. At what angle(s) should the nozzle point in order that the water land 2.5 m away (Fig. 3-36)? Why are there two different angles? Sketch the two trajectories.

A cannon elevated 42° from the horizontal is fired at a wall on level ground. The initial speed of the cannonball is 82 m/s. If the wall is at a horizontal distance of 170 from the cannon, how long is the cannonball in the air before it hits the wall?

The position of a particle is given by x = 4.50 e-0.30t, where x has units of meters. What is (a) the average velocity between 2.00 and 3.00 s; (b) the instantaneous velocity at 2.00 s; (c) the instantaneous acceleration at 2.00 s.

During an auto accident, the vehicle's air bags deploy and slow down the passengers more gently that if they had hit the windshield or steering wheel. According to safety standards, the bags produce a maximum acceleration of 60g (g = 9.8 m/s² is the acceleration due to Earth's gravity), but lasting for only 34 ms (or less). How far (in meters) does a person travel in coming to a complete stop in 34 ms at a constant acceleration of 60g?

A 75-m-long train begins uniform acceleration from rest. The front of the train has a speed of 18 m/s when it passes a railway worker who is standing 180 m from where the front of the train started. What will be the speed of the last car as it passes the worker?

Set up the cannon so that • the height is 10 m • initial speed is 15 m/s • the angle is O degrees, horizontal • fire the cannon! Tilt the barrel upwards to 30 degrees and FIRE! Now, tilt the barrel downwards to 30 degrees and - 3, 2, 1 - FIRE!!! You should see all three paths that the projectile took. You might need the blue measuring device, but MARK ALL THE APPLY THINGS: A) When you tilt the gun higher, the shot spends less time in the air B) More angle = more time C) More time = more range D) Since the initial velocity and the height is the same for all three shots, the time in the air is the same.

TWO locomotives approach each other on parallel tracks. Each has a speed of 155 km/h with respect to the ground. If they are initially 8.5 km apart, how long will it be before they reach each other?

On the Apollo 14 mission to the moon, astronaut Alan Shepard hit a golf ball with a golf club improvised from a tool. The free-fall acceleration on the moon is 1/6 of its value on earth. Suppose he hit the ball with a speed of 27 m/s at an angle 22° above the horizontal.

A pilot flying low and slow drops a weight; it takes 2.0 s to hit the ground, during which it travels a horizontal distance of 200 m. Now the pilot does a run at the same height but the speed. How much time does it take the weight to hit the ground?

Try the following: get some stuff: o a small ball (or some kind of object that will roll - a golf ball or marble or toy car is great, but an empty soup can will do in a pinch) o get a tape measure (a yardstick or a ruler will also work. You can also stretch a piece of string and mark off ruler lengths on the string to get the total length.) o around ten coins • Measure the distance from a tabletop or kitchen countertop down to the floor. Record the height in meters. (If you measured the height in inches then convert to meters by dividing the height by 39.36)

If a boat moves at 13 m/s at an angle of 134 in an ocean current of 81 m/s at an angle of 283 while the wind is pushing it at 8 m/s at an angle of 14, what is the magnitude of the real velocity of the boat? (Hint: add the three vectors with the four step method)

On the set of a new Hollywood movie, a 73.1-kg stunt actor (Max Payne) is tossed straight out of a helicopter hovering (stationary) at a height of 63.4 meters. The stunt actor is thrown from the helicopter at a speed of 5.43 m/s, eventually landing in the water below. Determine the stunt actor's impact speed and assume negligible air resistance. You can use the approximation that g = 10 m/s².

You're playing a fun game of pushing a box filled with apples across the floor. The mass of the box is 5kg and the apples' total mass is 20kg. You start off with an initial velocity of 0.8m/s and put in a big effort to finish with a final velocity of 1.25m/s. How much work did you do? Round to the nearest tenths.

Sidney kicks a soccer ball, from the ground, with a velocity of 20.3 at an angle of 75.5°. What is the velocity of the ball when it hits the ground (in magnitude-direction notation)? 20.3228.2° 25.7 211.3° 27.3228.2° 20.3 284.5° 27.3284.5° 27.3 211.3° 25.7 228.2° 20.3211.3° 25.7284.5°

Two cars are traveling along a straight road. Car (A) maintains a constant speed of 81.0 km/h; car (B) maintains a constant speed of 109 km/h. At t = 0, car (B) is 38.0 km behind car A. How far will car (A) travel from t = 0 before it is overtaken by car (B)?

When striking, the pike, a predatory fish, can accelerate from rest to a speed of 3.9 m/s in0.11 s. What is the acceleration of the pike during this strike? How far does the pike move during this strike?

A jet plane is launched from a catapult on an aircraft carrier. In 2.0 s it reaches a speed of 42 m/s at the end of the catapult. Assuming the acceleration is constant, how far did it travel during those 2.0 s? 16 m 24 m 84 m 42 m

Free Fall: A rock from a volcanic eruption is launched straight up into the air with no appreciable air resistance. Which one of the following statements about this rock while it is in the air is correct? The acceleration is downward at all points in the motion except that is zero at the highest point. The acceleration is downward at all points in the motion. On the way down, both its velocity and acceleration are downward, and at the highest point both its velocity and acceleration are zero. On the way up, its acceleration is downward and its velocity is upward, and at the highest point both its velocity and acceleration are zero. Throughout the motion, the acceleration is downward, and the velocity is always in the same direction as the acceleration.

The captain orders his starship to accelerate from rest at a rate of "1 g" (1 g = 9.8 m/s2). How many days does it take the starship to reach 10% the speed of light? (Light travels at 3.0 x 108 m/s.)

Free Fall: A 10-kg rock and a 20-kg rock are thrown upward with the same initial speed vo and experience no significant air resistance. If the 10-kg rock reaches a maximum height what maximum height will the 20-kg ball reach? h 4h 2h h/4 h/2

Two horses ran from the same place at the same time. One horse ran at a speed of 16 m/sec and the other ran at a speed of 18 m/sec. How far apart were they in 1 minute? In 5 minutes? In 8 minutes? If they ran with the same direction, m in 1 minute m-in 5 minutes m in 8 minutes

A bobsled, moving at 32 m/s, decelerates to 22 m/s at a rate of 4.8 m/s². Determine the distance traveled by the bobsled during this time. Known Variables: Unknown Variable: Equation: Solution and Answer:

A biker is traveling on level ground at 44.0 m/s with a combined mass of 307.0 kg. She spots a police officer 500 meters up ahead, so she applies the brakes, reducing her speed by half over a period of 13.0 seconds. In meters, how far does she travel during this time period?

A snowboarder on a slope starts from rest and reaches a speed of 2.6 m/s after 8.1 s. (a) What is the magnitude (in m/s2) of the snowboarder's average acceleration? (b) How far (in m) does the snowboarder travel in this time?

Assuming constant velocities, if a fastball pitch is thrown and travels at 40 m/s toward home plate, 18 m away, and the head of the bat is simultaneously traveling toward the ball at 18.0 m/s, how much time elapses before the bat hits the ball? About 0.3 s About 0.6 s About 0.9 s About 1.2 s

Example 3 Inna Hurry is traveling at 6.8 m/s, when she realizes she is late for an appointment. She accelerates at 4.5 m/s² for 3.2 s. What is her final velocity? mot Known Variables: erit einW Unknown Variable: Equation: aldshev nworpinu erit sluolso one endopis mohe

What is the result of two displacement vectors having opposite directions? The resultant is the sum of the two displacements, having the same direction as the smaller vector. The resultant is the sum of the two displacements, having the same direction as the larger vector. The resultant is the difference of the two displacements, having the same direction as the smaller vector. The resultant is the difference of the two displacements, having the same direction as the larger vector.

A ball is thrown directly downward with an initial speed of 7.55 m/s, from a height of 29.9 m. After what time interval does it strike the ground? S Need Help?

7. The speed of a particle is doubled. (a) How does the momentum of the object change (increase or decrease and by how much)? (b) How does the force needed to stop the object change (increase or decrease and by how much)?

Is the lion faster than the horse? On a rotating merry-go-round, one child sits on a horse near the outer edge & another child sits on a lion halfway out from the center. a. Which child has the greater translational velocity v? b. Which child has the greater angular velocity w?

An object is moving with v(t) = 4^t and the position X(1) = 4. What is the position of the object at t = 5? 731.774 735.774 738.66 739.774

(a) Taking A = (6.00 -8.003) units, B = (-8.00 +3.003) units, and Č= (26.02 + 19.03) units, determine a and b such that aà + bB+C =0 . (b) A student has learned that a single equation cannot be solved to determine values for more than one unknown in it. How would you explain to him. that both a and b can be determined from the single equation used in part (a).

A helicopter is flying to the East over Philadelphia with a speed of 20.1. During the flight, a strong wind blows South giving the helicopter an extra velocity of 18.6m/s to the South. If the wind blows for 16.4 s, what is the helicopters displacement during that time in magnitude direction notation? A. 550.9 m ∠52.2° B. 450.4 m2 ∠317.2° C. 550.9 m ∠223.3° D. 450.4 m2 ∠52.2° E. 1088.4 m ∠317.2° F. 1088.4 m ∠223.3° G. 450.4 m ∠223.3° H. 550.9 m ∠317.2° I. 1088.4 m ∠52.2°

A block of mass 1kg is released from the top of a wedge of mass 2kg. Height of wedge is 10 meter and all the surfaces are frictionless. Then A. Displacement of centre of mass of system in vertical direction is zero

A 0.6 kg ball strikes a wall with a velocity 5m/s at an angle of 30° with the wall and rebounds at the same angle with the same speed. The change in the momentum of the ball perpendicular and parallel to the wall are. A. 15 kgm/s, 0 B. 10 kgm/s, 2 kgm/s C. 3 kgm/s, 0 D. 5 kgm/s, 2 kgm/s

A boat moves through the water with two forces acting on it. One is a 2362 N forward push by the motor on the propeller, and the other is an 2209 N resistive force due to the water around the bow. What is the acceleration of the 1037 kg boat? If it starts from rest, how far will it move in 13 s? What will its velocity be at the end of this time interval?

A particular toy airplane always flies at a speed of 7 m/s through motionless air. However, on a particular day, the wind is blowing steadily at 11 m/s. If the wind is blowing due south (i.e., blowing out of the north), and the airplane's nose is aimed due north while flying, what will be the airplane's velocity relative to the ground? A. 11 m/s due north B. 4 m/s due north C. 18 m/s due north D. 4 m/s due south E. 7 m/s due north F. 18 m/s due south G. 11 m/s due south H. 7 m/s due south

At the edge of a very high sheer cliff, you throw a rock directly upward with an initial speed of 5.9 m/s. On its way back down, the rock misses the cliff edge, landing on the ground far below. You measure that the rock takes a total of 6.68 seconds from throw to landing. Ignore air resistance. What is the height of the cliff above the ground below, in meters?

What minimum speed does a 150- g puck need to make it to the top of a 4.00-m long, 24.0- degree frictionless ramp? Include a diagram indicating initial and final positions and values. Wext = ΔK+ΔUG + ΔUS + ΔEth K= 1/2 mv² UG = mgy Us = 1/2 kL

Sue and Jenny kick a soccer ball at exactly the same time. Sue's foot exerts a force of 61.2 N to the north. Jenny's foot exerts a force of 92.1 N to the east. a) What is the magnitude of the resultant force on the ball? Answer in units of N.

A speedboat moving at 31.0 m/s approaches a no-wake buoy marker 100 m ahead. The pilot slows the boat with a constant acceleration of -3.70 m/s² by reducing the throttle. (a) How long does it take the boat to reach the buoy?

A biker is traveling on level ground at 60.0 m/s with a combined mass of 309.0 kg. She spots a police officer 500 meters up ahead, so she applies the brakes, reducing her speed by half over a period of 16.0 seconds. In meters, how far does she travel during this time period? Think to yourself; do not enter an answer to this question: If she doesn't reach the new, lower speed in time, she will pass the officer with a speed that's too high (certainly getting a ticket). In other words, if the distance you calculate is above 500 m, she doesn't slow down in enough time. If the distance you calculate is less than 500 m, she reaches the safe speed before she reaches the officer. So, does she get a ticket?

Which of the following statements is true of projectile motion, assuming that air resistance is ignored? a. At any particular height, the speed is the same going up and going down. b. Horizontal motion is constant. c. It is an example of kinematics in two dimensions. d. The path of the projectile is an hyperbola. e. Vertical motion is accelerated.

A 25 kg football is kicked with an initial velocity of 15 m/s at an angle of 50- degrees with the horizontal. What is the time of flight? What is the peak height of the football? What is horizontal displacement?

A ball rolls with a constant acceleration of 2.5 m/s^2 for 5.0 s with an initial velocity of 5.0 m/s. Calculate the ball's distance from the starting point at 1.0 s intervals. Make a position-time graph for the object's motion. In your response, show what you are given, the equation that you used, any algebra/work required, a table of data, and your graph.

A supersonic jet flying at 209 m/s is accelerated constantly at a rate of 15.8 m/s² for 6.2 seconds. What is its final velocity? Round your answer to the nearest 0.1 (tenths place). Do not add units.