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 child is driving a remote-control car at a steady velocity of 3.00 m/s along a straight line. The maximum deceleration of the car is about 1.00 m/s2. What is the shortest possible stopping distance if the remote control response time is 0.200s?
0.58m
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
16 inches/min to m/s.
0.006 m/s
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
1.00 x 102 km/ 8.00 L to miles/gallon.
29.4 miles/gallon
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.
-1.48 m/s
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.
4 km to mm.
4.00 x 106 mm
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 cat jumps into a box 2m away at an angle of 28º. It is in the air for 1.4s before landing. What was the cat's initial velocity?
7.01 m/s
What is the largest religious monument in the world?
Angkor Wat