Notable Notations
Rewrite 45,148,287 cm using scientific notation.
4.5148287 x 10^7 cm.
How many seconds are there in 1.5 hours?
5400 s
A car drives 250. m in a direction 35.0o South of east. a) How far South did they drive?
b) How far east did they drive?
a) 143 m
b) 205 m
At soccer practice, the coach makes the players run back and forth between two lines four times. It takes the players 5s to run between the points, and they pause for 2s at each point. What will the position v. time graph look like?
You're probably right!
An Olympic-class sprinter starts a race with an acceleration of 4.50 m/s24.50 m/s2.
(a) What is her speed 2.40 s later?
10.8m/s
Rewrite 0.000004293 nm using scientific notation.
4.293 x 10^-6 nm.
What is 2500 m in km?
2.5 km
Vector u has a magnitude of 20 and a direction of 0°. Vector v has a magnitude of 40 and a direction of 60°. Find the magnitude and direction of the resultant to the nearest whole number.
53, 41°
A car travels 6 meters in 3 seconds. It then stops for 5 seconds. Then the car goes 2 meters in 2 seconds.
a. What is the velocity of the car for the first 3 seconds?
b. What is the velocity of the car from times 3-10 seconds?
a. 2 m/s
b. 2/7 m/s
At the end of a race, a runner decelerates from a velocity of 9.00 m/s at a rate of 2.00 m/s22.00 m/s2. (a) How far does she travel in the next 5.00 s?
(b) What is her final velocity?
(a) 20.0 m20.0 m
(b) −1.00 m/s
Rewrite 39,625,478 m using engineering notation.
39.625478 x 10^6 m
What is 198 km/h equal to? (in m/s)
55.0 m/s
Alex walks 0.40 km in a direction 60˚ west of north, then goes 0.50 km due west. Find the displacement by adding the vectors mathematically (by components).
R = 0.87 km, 13.30 N of W
A car travels 8 meters in 2 seconds. It stays motionless for 3 seconds. It then goes -5 meters in 5 seconds.
a. What is the velocity of the car for the first 2 seconds?
b. What is the velocity of the car from times 2-5 seconds?
c. What is the velocity of the car from times 5-10s?
a. 4 m/s
b. 0 m/s
c. -1 m/s
In a slap shot, a hockey player accelerates the puck from a velocity of 8.00 m/s to 40.0 m/s in the same direction. If this shot takes 3.33×10-2s, calculate the distance over which the puck accelerates.
0.799 m
Convert 0.4 km to cm using SI prefix notation.
4 x 10^4 cm.
What is 363 m/s in km/hr?
1310. km/hr
A hiker’s trip consists of three segments. Path A is 8.0 km long heading 60˚ north of east. Path B is 7.0 km long in a direction 30˚ north of west. Path C is 4.0 km long heading 70˚ east of south. Find the displacement of the hiker.
R = 9.2 km 79.60 N of E
A car travels 5 meters in 2 seconds. The car then stays motionless for 2 seconds. It then moves 5 meters in the opposite direction in 4 seconds. Last, the car moves forward at 3m/s for 2 seconds.
a. What is the velocity of the car for the first 2 seconds?
b. What is the velocity of the car from times 4-8 seconds?
c. How far did the car move from 8-10s?
a. 2.5 m/s
b. -5/4 m/s
c. 6 m
A swan on a lake gets airborne by flapping its wings and running on top of the water.
(a) If the swan must reach a velocity of 6.00 m/s to take off and it accelerates from rest at an average rate of 0.350 m/s2, how far will it travel before becoming airborne?
(b) How long does this take?
(a) 51.4m51.4m
(b) 17.1 s