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Exam 3: Vectors and Motion in Two Dimensions

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Question 1

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The magnitude of the resultant of two vectors must be greater than or equal to the magnitude of each of these vectors.

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Question 2

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You are taking a turn at 23.0 m/s on a ramp of radius 39.0 m.What is your acceleration?

A) 13.6 m/s²
B) 0.590 m/s²
C) 66.1 m/s²
D) 1.70 m/s²

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Question 3

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A rabbit trying to escape a fox runs north for 8.0 m,darts northwest for 1.0 m,then drops 1.0 m down a hole into its burrow.What is the magnitude of the net displacement of the rabbit?

A projectile is fired at time t = 0.0 s,from point 0 at the edge of a cliff,with initial velocity components of v_ox = 50 m/s and v_oy =200 m/s.The projectile rises,then falls into the sea at point P.The time of flight of the projectile is 50.0 s. In the figure,the y-coordinate of the projectile when its x-coordinate is 1000 m is closest to:

A boat crosses a river at a constant engine speed of 8.0 cm/s under the influence of a constant perpendicular current acceleration of 0.060 m/s².How far off a straight course does it drift in 2.3 min?

The components of a vector will be the same no matter what coordinate system is used to express that vector.

Jeff ran up the hill at 7.0 m/s.The horizontal component of Jeff's velocity vector was 5.1 m/s.What was the vertical component of Jeff's velocity?

Vector points to the north and has length A.Vector points to the east and has length B = 2.5A.Find the direction of = 7.4 + .Express your answer as an angle relative to east.

A boy throws a rock with an initial velocity of 3.13 m/s at 30.0° above the horizontal.How long does it take for the rock to reach the maximum height of its trajectory?

Shown here are the velocity and acceleration vectors for an object in several different types of motion.In which case is the object slowing down and turning to its right?

A hiker walks 6.7 miles to the east in 5.1 hours then turns around and walks 1.1 miles to the west in 1.0 hours.What was her average velocity during the trip?

To achieve maximum range of a projectile,for a fixed initial velocity,on Earth we must launch it at 45°.If we were at the moon should we do the same?

A football is kicked toward the goal posts and feels no air resistance.While it is in the air,the only force acting on it is 9.8 m/s² downward due to gravity.

A plane flying at 70.0 m/s suddenly stalls.If the acceleration during the stall is 9.8 m/s² directly downward,the stall lasts 5.0 s,and the plane was originally climbing at 25° to the horizontal,what is the velocity after the stall?

Which of the following ideas is true about projectile motion with no air drag?

Bob and Biff throw identical rocks off a tall building at the same time.Bob throws his rock straight downward.Biff throws his rock downward and outward such that the angle between the initial velocity of the rock and the horizon is 30 degrees.Biff throws the rock with a speed twice that of Bob's rock.Which rock hits the ground first (assume the ground near the building is flat) ?

Vector has length 4 units and directed to the north.Vector has length 9 units and is directed to the south.Calculate the magnitude and direction of + .

A ball is thrown at an angle above the horizontal from the top of a cliff and feels no air resistance.A runner at the base of the cliff moves horizontally so that she is always under the ball.In this runner's reference frame,the path of the ball is a straight line rather than a parabola.

You can launch a projectile with a fixed initial speed but at any angle above the horizontal,and it feels no air resistance.The time for it to return to the ground does not depend on the angle at which you launch it.

Karim rides his bike with velocity = ( 8.4 m/s,25° north of east) for 10 minutes.How far to the north of his starting position does Karim end up?