Final Practice

A professor living in Oconee County needs to mail a few letters at the rural mailbox 1.0 km down the road. The round-trip walk takes her 30 min. For the round-trip, what was her average velocity?

A) +2.0 km/hr
B) -2.0 km/hr
C) +4.0 km/hr
D) -4.0 km/hr
E) None of the above

E) None of the above

A professor living in Oconee County needs to mail a few letters at
the rural mailbox 1.0 km down the road. The round-trip walk
takes her 30 min. For the round-trip, what was her average speed?

A) 0.5 km/hr
B) 1.0 km/hr
C) 2.0 km/hr
D) 4.0 km/hr
E) None of the above

D) 4.0 km/hr

An object has the following velocity components. Which of the following correctly identifies the magnitude of the velocity?

A) 6 m/s
B) 8 m/s
C) 10 m/s
D) pi m/s

C) 10 m/s

An object has the following velocity. Which of the following correctly identifies the x and y- components of velocity?

D) 4 m/s 3 m/s

Prof. Victor Addition needs to get from his home to his office on the campus of Thomas Watson Institute of Technology. He rides his bicycle south on Galileo St. for 0.5 km, then turns left on Newton Rd. and goes east 3.0 km. He turns left 30° onto Einstein Blvd. and travels another 4.0 km, at which point he turns due west on Hawking Hwy. and travels another 1.0 km to arrive at the TWIT campus.

a) What are the East and North components of the total displacement vector?

b) What are the length and direction (relative to east) of the total displacement vector?

a) 5.5 km East and 1.5 km North

b) 5.7 km 15^o North of East

Day 3

What does the slope indicate on a Position vs Time graph?

Velocity

What does slope indicate on a Velocity vs Time graph?

acceleration

The position-time graph below represents the motion of a cart initially moving forward along a straight line. Which interval corresponds to the cart's motion in the forward direction at a constant speed?

A) A to B
B) B to C
C) C to D
D) D to E

B) B to C

Which time interval has the largest magnitude of average velocity?

A) 0-1 s
B) 1-2 s
C) 2-3 s
D) 3-4 s

D) 3-4 s

A sled starts from rest down a smooth, snowy hill. When it is 48 m from the starting point, its speed is clocked at 20 m/s. It reaches the bottom of the hill 2.0 s later.

b) What was the downhill acceleration of the sled?

c) How long (time) did the whole trip take?

d) How far up the hill was the starting line?

e) How fast was the sled going when it reached the bottom of the hill?

b) 4.17 m/s²
c) 6.80 s
d) 96.3 m
e) 28.3 m/s

Day 6

A passenger stands 9.0 m behind the open door of a stationary bus. Once the bus accelerates at 1.0 m/s², the passenger immediately begins sprinting toward the door at 4.5 m/s. Assuming the passenger maintains a constant velocity,

How long (time) does it take for the passenger to reach the open door and jump in?

3 s

Day 6

In a 100 m race, Marge crosses the finish line after 11.2 s. Accelerating uniformly, Marge took 2 s to attain maximum speed, which she maintained for the rest of the race.

a) What was Marge’s acceleration?

b) What was Marge’s maximum speed?

c) What distance had Marge run at the 6.95 s mark?

a) 4.90 m/s²
b) 9.80 m/s
c) chat it

Day 7

Every weekday Bingo the black lab waits at the foot of the driveway for his boy Manu to get home from school. Manu gets off the bus at a corner 30 m away and starts walking home at a steady gait of 2.0 m/s. At the same time, a very excited Bingo starts bounding down the sidewalk, accelerating from rest at 1.0 m/s².

a) How long does it take for them to meet up?

b) How far from home are they at this point (when they meet)?

c) How fast is Bingo running at this point (when they meet)?

a) 6 s
b) 18 m
c) 6 m/s

Day 7

Consider an apple launched vertically upward with an initial velocity of 17.5 m/s. Consider the upward direction positive for all questions.

a) What is a_y?

b) What is a_x?

c) What is the maximum height of the apple?

d) How long does it take the apple to get to its maximum height?

e) How long does it take the apple to get to ½ of its maximum height?

a) -9.8 m/s
b) 0 m/s²
c) 15.61 m
d) 1.78 s
e) 0.52 s

Day 8

After winning the second national championship, UGA’s Hairy Dawg did throw the game ball vertically upward with an initial speed of 10 m/s.

a) On its way up, how long does it take the ball to reach half its maximum height?

b) On its way up, what is the velocity at half the maximum height?

c) What is its speed when it returns to hairy Dawg’s hand?

a) 0.299 s
b) 7.07 m/s
c) 10 m/s

Day 9

Consider an apple launched with an initial velocity of 35 m/s at an angle of 30^o above the horizontal, as shown in the picture.

a) What is a_y?

b) What is a_x?

c) What is v_ix?

d) What is v_iy?

e) What is the apple’s maximum height above the ground?

f) How long does it take the apple to get to its maximum height?

g) How long does it take the apple to get to ½ of its maximum height?

a) -9.8 m/s²
b) 0 m/s²
c) 30.32 m/s
d) 17.50 m/s
e) 15.61 m
f) 1.78 s
g) 0.52 s

Day 9

As shown below, a ball leaves the ground at an angle θ=37.0^o above the horizontal with a speed of 100 m/s.

a) How long does it take to hit the ground?

b) Find the Y-component of the velocity at impact (just before hitting the ground)?

c) Find the X-component of the velocity at impact (just before hitting the ground)?

d) Find the speed of the object at impact (just before hitting the ground)?

e) Find the range or the magnitude of displacement in the x-direct at impact.

a) 12.28 s
b) -60.2 m/s
c) 79.9 m/s
d) 100 m/s
e) 981 m

Day 9

A criminal is escaping across a rooftop and runs off horizontally, landing on the roof of an adjacent building. The horizontal distance between the two buildings is 3.4 m, and the roof of the adjacent building is 2.0 m below the jumping off point. What would be the minimum speed needed by the criminal as he runs off the roof?

5.3 m/s

Day 10

A volleyball player stands on the back line of the court preparing to serve. She cups the ball in her left hand 0.83 m above the back line and strikes the ball with her closed right hand. The ball just barely clears the net at the top of its motion. A regulation volleyball court is 18 m long, with the top of the net 2.43 m above the center line. What was the velocity—speed and direction—of the ball as it was served?

16.7 m/s

Day 10