# An object travels North at # 4 m/s# for #1 s# and then travels South at # 5 m/s# for # 7 s#. What are the object's average speed and velocity?

Since the average velocity is a vector quantity, the velocities' signs are taken into account.

Initially, ascertain the two velocities:

Although you are free to define your system however you see fit, I will here define North as the positive direction and South as the negative direction.

Then, you take the mean of these two measurements, adding time to the equation.

Considering that the average speed is a scalar quantity, the signs of the velocities are ignored.

The easiest method to find average speed is to calculate the total distance traveled. In this problem, average speed can be found using the following equation because there are only two possible directions of travel: up or down.

By signing up, you agree to our Terms of Service and Privacy Policy

Average speed: (3.14 , \text{m/s}), Average velocity: (0.43 , \text{m/s} , \text{South})

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- A projectile is shot from the ground at a velocity of #4 m/s# at an angle of #pi/6#. How long will it take for the projectile to land?
- An object has a mass of #4 kg#. The object's kinetic energy uniformly changes from #48 KJ# to # 320 KJ# over #t in [0, 12 s]#. What is the average speed of the object?
- An object has a mass of #3 kg#. The object's kinetic energy uniformly changes from #75 KJ# to #48 KJ# over #t in [0, 9 s]#. What is the average speed of the object?
- An object's two dimensional velocity is given by #v(t) = ( t-2t^3 , 4t^2-3t)#. What is the object's rate and direction of acceleration at #t=3 #?
- An Apple is dropped on the moon from a height of 2.0 meters. The acceleration of gravity on the moon is 1.67 m/s2. Determine the time for the feather to fall to the surface of the moon?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7