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In a scene from a classic cartoon, a hungry coyote is chasing a roadrunner, as shown in the figure below. To aid in his quest, he has donned a pair of ACME brand rocket-propelled roller skates. The skates accelerate the coyote at 13.0 m/s2 in the horizontal direction. The roadrunner is moving at a constant speed toward a cliff. The coyote is initially at rest 35.0 m from the cliff at the instant the roadrunner moves past him. (In all questions below, assume right is the positive x-direction and up is the positive y-direction. Also assume you can apply real-world physics principles, as opposed to "cartoon physics.")

If you know the position vectors of a particle at two points along its path and also know the time it took to get from one point to the other, can you determine the
particle's instantaneous velocity and average velocity? (Select all that apply.)
(1 The instantaneous velocity can be determined (1 Both average velocity and instantaneous velocity can be determined (1 Neither average velocity nor instantaneous velocity can be determined (1 The average velocity can be determined Explain.
(a) How can a driver steer a car traveling at constant speed so that the acceleration is zero? (Assume that the road is level. Select all that apply.)
O on a circular path [1 on a straight line
[1 on a parabolic path [1 on an elliptical path (b) How can a driver steer a car traveling at constant speed so that the magnitude of the acceleration remains constant. (Assume that the road is level. Select all
that apply.)
[1 on a circular path [1 on a straight line
[1 on a parabolic path [1 on an elliptical path
A projectile is launched at some angle to the horizontal with some initial speed vi, and air resistance is negligible. (a) Is the projectile a freely falling body?
C Yes (7N0 (b) What is its acceleration in the vertical direction? (Let up be the positive direction.)
m/s2 (c) What is its acceleration in the horizontal direction?
Which of the following particles, if any, have an acceleration?
O a particle moving in a straight line with constant speed O a particle moving around a curve with constant speed (7 Neither of the particles has an acceleration. Explain your answer.
A particle initially located at the origin has an acceleration of 5' = 2.003 m/s2 and an initial velocity of i’i = 8.00'I' m/s. (a) Find the vector position of the particle at any time t (where t is measured in seconds).
( ti + t2 j) m (b) Find the velocity of the particle at any time t.
( i + t j) m/s (c) Find the coordinates of the particle at t = 5.00 s.
x = m V: m (d) Find the speed of the particle at t = 5.00 5.
m/s
In a local bar, a customer slides an empty beer mug down the counter for a reﬁll. The height of the counter is 1.30 m. The mug slides off the counter and strikes the floor 0.40 m
from the base of the counter. (a) With what velocity did the mug leave the counter?
[ ‘ m/s (b) What was the direction of the mug's velocity just before it hit the ﬂoor? 1 ° (below the horizontal)
To start an avalanche on a mountain slope, an artillery shell is fired with an initial velocity of 310 m/s at 49.0“ above the horizontal. It explodes on the mountainside 37.0 s after
firing. What are the x and y coordinates of the shell where it explodes, relative to its firing point? X: m y= m
A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 8.50 m/s at an angle of 17.0° below the horizontal. It strikes the ground 5.00 5 later. (a) How far horizontally from the base of the building does the ball strike the ground?
rn (b) Find the height from which the ball was thrown.
m (c) How long does it take the ball to reach a point 10.0 m below the level of launching?
s
Mayan kings and many school sports teams are named for the puma, cougar, or mountain lion Felis concolor, the bestjumper among animals. It can jump to a height of 11.8 ft when
leaving the ground at an angle of 40.7°. With what speed, in SI units, does it leave the ground to make this leap?
m/s
In a scene from a classic cartoon, a hungry coyote is chasing a roadrunner, as shown in the ﬁgure below. To aid in his quest, he has donned a pair of ACME brand rocket-propelled roller skates. The skates accelerate the coyote at 13.0 m/s2 in the horizontal direction. The roadrunner is moving at a constant speed toward a cliff. The coyote is initially at rest 35.0 m from the cliff at the instant the roadrunner moves past him. (In all questions below, assume right is the positive x-direction and up is the positive y-direction. Also assume
you can apply real-world physics principles, as opposed to &quot;cartoon physics.&quot;) aim f??? (a) What minimum constant speed (in m/s) must the roadrunner have to reach the cliff before the coyote does? m/s The roadrunner suddenly turns at the edge of the cliff, while the coyote continues straight ahead. The coyote's skates remain horizontal and continue to operate while he is in flight,
so his acceleration while in the air is (13.0i — 9.803) m/52_ (b) The cliff is 100 m above the flat floor of a wide canyon. How far (in m) from the base of the vertical cliff does the coyote land? m (c) What are the components of the coyote's velocity (in m/s) just before he hits the ground? (Indicate the direction with the signs of your answers.)
Vx = ‘ m/s vy = ‘m/s

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