Vectors
A car travels 45km on a highway pointing at a 117.9º angle from the origin. What is the magnitude of the x component of the car’s path (in km)?
20.43 Km
A marble is in free fall, and for the last 5m of its fall, it takes 0.87s to reach the ground. Find the velocity of the marble at 5m.
-1.7m/s
A baseball is hit so that it travels straight upward after being struck by a bat. A fan observes that it takes 1.30s for the ball to reach its maximum height. Find the ball’s initial velocity.
12.74m
A water balloon leaves a slingshot at a 54.9m/s at an angle of 47º and travels 32.5m before landing. Find the time the balloon was in the air for.
0.96 seconds
How long is a moon cycle?
28 days
An ant on a picnic table travels 30cm East, 25cm North, and then 15cm West. Find the magnitude and direction of the ant’s displacement.
29.15cm in a 59.04º direction
A coin is dropped from rest off of a building and is in free fall for 3 seconds. How far did the coin fall in this time?
The coin fell 44.15m.
A sprinter starts from rest and accelerates uniformly for 20s and finishes through the 300m mark. Find the acceleration of the runner.
1.5m/s2
A water balloon leaves a slingshot with a speed of 54.9m/s at an angle of 47º and travels 32.5m for a total of 0.96seconds. Find the highest point the balloon reaches.
18.14m
What city has the nickname “The Eternal City?”
Rome, Italy
Jack walks west for 170m, then turns north for another 260m, and finishes his walk after 26min. What is the velocity and displacement of Jack’s walk?
0.19m/s in a 123.18º direction.
A coin is dropped from rest off a building and is in free fall for 3 seconds, and falls 44.15m in this time. What is the final velocity of the coin at 3 seconds?
-29.43m/s
A sprinter starts from rest and accelerates uniformly at 1.5m/s2 for 20s and finishes through the 300m mark. Find the final velocity of the runner.
30.0m/s
A tennis player hits a ball with an initial speed of 23.6m/s perfectly horizontally. The ball is 2.37m above the ground when struck by the racquet. The net is 0.9m high, and is 12m away from the point of contact with the tennis ball. At what time will the ball reach the net?
At 0.51 seconds.
What Czech author wrote several works, including “The Metamorphosis” and “The Trial”?
Franz Kafka
10.07m/s
A certainly free falling object, released from rest, requires 2.7 seconds to fall the last 53.0 meters to the ground. Find the velocity of the object when is it 53.0m above ground.
-6.4m/s
A ball is thrown vertically upward with a speed of 14.2m/s. How high does it rise?
10.29m
A tennis player hits a ball with an initial speed of 23.6 m/s perfectly horizontally. The ball is 2.37m above the ground when struck by the racquet. The 0.9m high net is 12m away from the point of contact of the tennis ball. If the time the ball is 12m away from the net is 0.51s, will the tennis ball clear the net?
Yes!
From what speech is the phrase “government of the people, by the people, and for the people” found?
The Gettysburg Address
A bee travels 4.6m east, and then 3.9m south. Find the direction and magnitude of its displacement.
6.03m in a 319.71º direction.
Find the final velocity of an object that falls from rest for 76.1m.
-38.62m/s
A ball is thrown vertically upward with a speed of 14.2m/s, and reaches a final height of 10.29m. How long does it take to reach its highest point?
1.45s
A ball is thrown horizontally from the top of a 76.0m building and lands 104.0m from the base of the building. Ignoring air resistance, how long is the ball in the air for?
3.94s
What is the largest religious monument in the world?
Angkor Wat