SHS 2-D HW
HW CH 3a Vector Schmector (Read Ch 3.1-3.4)
1. A ship is steaming on a heading of due north at a velocity of 12.0 km. (nautical miles per hour). The current is swirling
at 4.25 kts going from east to west (so headed due west). (a)What course must the ship steer in order to make good a
heading that is due north (000°)? (b) What is the ship’s velocity (in kts) over ground?
2. A rock is thrown with a velocity of 23.5 m/s at an angle of 22.5 to the horizontal. Find the horizontal and vertical
velocity components.
3. A ball is thrown with an angle of 12.0  to the horizon with a speed of 15.0 m/s. What are its horizontal and vertical
components?
4. A frog falls from its rainforest tree. If we ignore wind resistance, (a) how much time does it take the frog to fall a
distance of 12.0 m? (b) How fast is the frog falling at this point?
5. A plane can fly with airspeed of 87 mph. The wind is blowing to the south at 15 mph. If the airplane wants to fly
directly east, what compass heading must it fly?
6. A plane has airspeed of 235 km/h. It takes off and wants to fly to a city that is directly north of it at a distance of 455
km. The wind is blowing to the east (from the west) at 42 km/h. Find (a) the course that the pilot must steer in order to
fly directly north to the city and (b) the time it will take to arrive at the city
7. Plot the resultant vector for the following vectors via parallelogram and tip to tail methods.
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HW CH 3b Biff the Cliff (Read Ch 3.5)
1. A crow flies aloft carrying a shiny rock in its beak. The crow reaches an altitude of 65.0 m and is flying at 34.5 km/h.
It releases the rock. Find: (a) the time it will take the rock to hit the ground below, (b) the horizontal displacement the
rock will travel before it hits, and (c) the velocity of the rock when it hits the ground.
2. A ball rolls across a table at constant velocity. The ball is traveling at velocity v. The table is a displacement h above
the deck below. How far from the edge of the table does the ball travel before it hits the deck?
3. A Volkswagen runs straight off a cliff. The Volkswagen is traveling at a velocity of 34.5 m/s when if leaves the road.
If the cliff is 12.5 m high, how far horizontally does the car travel before it smashes into the ground below?
4. A stealth bomber on a training mission drops one of its bombs from a height of 3,500 m during level flight. The
bomb travels a horizontal displacement of 1.25 km. What was the plane’s horizontal velocity in km/hr?
5. A truck is out on the highway cruising along. It goes by a marker that says “125 km”. 12 minutes later it travels past
a marker that says “ 88 km”. What is the average velocity of the truck in km/hr?
6. A kid runs straight off a diving board. The diving board is 3.0 m above the water. If the kid travels 2.5 m
horizontally from the edge of the board when he hits the water, what was his horizontal velocity in m/s?
7. The nose wheel falls off of a 767 when it is flying at an altitude of 12 500 m. Okay, (a) how much time for it to hit
the ground? (b) If the plane has an air velocity of 885 km/h, what is the horizontal displacement that the wheel travels
before it hits the ground?
HW 3c Cannon Beach (Read Ch 3.6)
1. A cannon shoots a large cannonball. The cannonball has a velocity of 125 m/s when it leaves the barrel. If the
elevation angle was 32.0, what is the horizontal displacement that the cannonball travels?
2. An arrow is launched with a velocity of 88.7 m/s at an angle of 33.0 to the horizontal. How far does the arrow
travel?
3. A brick is thrown upward from the top of a building at an angle of 25 to the horizontal and with an initial velocity of
15 m/s. It strikes the ground below. If the brick is in flight for 3.0 s, how tall is the building?
4. A ball is thrown at an angle of 43 to the horizontal. It travels a displacement of 75 m in 2.3 s. (a) What was its
original velocity? (b) How high did it go?
5. The USS Theodore Cleaver fires a projectile at an angle of 25.0 . The time of flight for the projectile is 48.4 s. What
was the horizontal displacement of the shot?
6. A 5 inch projectile is fired with a velocity of 288.7 m/s at an angle of 18.0 to the horizontal. How far does the
projectile travel?
7. An aircraft launches a bomb. The plane is flying upward at an angle of 55 to the horizon. When the bomb is
launched, de plane has a velocity of 745 km/h. At the time of launch, the bomb is 8 750 m above the ground. So (a) how
high does the bomb go from where it was launched? (b) How much time till it hits? (c) How far horizontally does it
travel?
1) You throw a potato at an angle of 22.2 . If it is in the air for 1.55 s, how far did it go?
2) Cannon shoots a large cannonball. The cannonball has a velocity of 125 m/s when it leaves the barrel. If the
elevation angle was 32.0, what is the horizontal displacement that the cannonball travels?
3)
The USS Theodore Cleaver fires a projectile at an angle of 25.0 . The time of flight for the projectile is
48.4 s. What was the horizontal displacement of the shot?
4)
A husky kicker wants to provide as much hang time as possible For his coverage team to get down the
field. If he kicks the ball with a velocity 40m/s at an angle of 35 degrees above horizontal, how much time does his
team have to get down field and pound a cougar? At what distance from kick will we find a pounded cougar
returnee?
5)
A ball is thrown at some angle. The ball is in the air for 4.50 seconds before it hits. If it travels 45.0
meters before it hits the ground, what was the initial velocity of the ball (magnitude and direction please)?
6)
A football leaves a punters foot 1.0 m above the ground at 20.0 m/s. θ0 = 37º. Find t then x.
7)
A stone is thrown off the top of a building from a height of 45.0 m. The stone has a launch angle of 62.5
and a speed of 31.5 m/s. a) How long is the stone in flight? b) What is its speed just before it hits the ground c)
what angle does it hit?
8)
An aircraft launches a bomb. The plane is flying upward at an angle of 55 to the horizon. When the
bomb is launched, de plane has a velocity of 745 km/h. At the time of launch, the bomb is 8 750 m above the
ground. So (a) how high does the bomb go from where it was launched? (b) How far horizontally does it travel?
(c) How much time till it hits?
HW CH 3d Nothin’ But Net (Read Ch 3.6)
1. Draw the velocity vectors onto the balls below:
2. A projectile is launched with an initial velocity of 60.0 m/s and an angle of 30.0 above the horizontal. The projectile
lands on a hillside 4.00 s later. Neglect air friction. (a) What is the projectile’s velocity at the highest point of its
trajectory? (b) What is the straight-line displacement from where the projectile was launched to where it hits?
3. A gigantic roc (the mythical bird that gave Sinbad a real bad time) picks up a boat and flies off with it. The bird
releases the boat. The boat travels 235 m in the horizontal direction before it hits the water. The bird was flying at a
velocity of 23.5 m/s. So how high was the bird flying when it dropped the boat?
4. A 5 inch projectile is fired at an angle of 21.0 to the horizontal. If the thing travels a displacement of 23 500 m in
135 s, what was the projectile’s initial velocity?
5. An overpaid (really overpaid) baseball player hits a homerun. The ball is caught by one of the few baseball fans left
under the age of 50 in the stands in the cheap seats. It is caught 7.50 m above the point from which it was hit. At the
moment it was caught (or an instant before if you prefer) it had a velocity of 36.0 m/s at an angle of 28.0 below the
horizontal. Ignoring air resistance, find the initial velocity of the ball when hit.
ANSWERS:
3a: 1a)11.2kts 1b)20.7 E of N (or 69.3o polar) 2) vx=21.7m/s vy=9.0m/s 3) vx=14.7m/s vy=3.12 m/s 4a) 1.56s
4b)14.7m/s 5)10o North of East (AKA polar) 6a) 10o W of N (or 100o polar) 6b) 231.2 km/h 6c) 2.0hr 7)in class
3b: 1a) 3.64s 1b) 34.9m 1c) 37.0m/s 2) v 2h/g 3) 55.1m 4) 168 km/hr 5)200 km/hr 6) 3.2 m/s 7a) 50.5s
7b) 12400m
3c: 1)1430m 2) 733m 3) 25m 4a) 45 m/s 4b) 6.5m 5) 12300 m/s 6) 5000m 7a) 1470m 7b) 63.0s 7c) 7480m
3d: 1)draw 2a) 52.0m/s 2b) 212m 3) 490m 4) 186m/s 21o to horizontal 5) 38.0 m/s