How Did Jason Catch Up to Marie by 5pm?

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Since you don't know the speeds, you will have to use variables for now. Once you have the equations, you can use the given information to solve for the speeds. In summary, the conversation discusses two drivers, Marie and Jason, who are driving at constant speeds. Jason starts following Marie at 1pm and catches up with her at 5pm. At 2pm, Marie has driven 16 more miles than Jason. The conversation asks for their speeds in mph.
  • #1
mvgio124
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At noon Marie leaves Goleta driving north at
constant speed. At 1pm Jason is 14 miles south of Goleta
and starts to follow Marie, he also drives at (a different) constant
speed. At 5pm Jason catches up with Marie. At 2pm Marie
has driven 16 more miles since she started than Jason has
driven since he started. What were their speeds in mph.
 
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  • #2
mvgio124 said:
(4)

At noon Marie leaves Goleta driving north at
constant speed. At 1pm Jason is 14 miles south of Goleta
and starts to follow Marie, he also drives at (a different) constant
speed. At 5pm Jason catches up with Marie. At 2pm Marie
has driven 16 more miles since she started than Jason has
driven since he started. What were their speeds in mph.

What have you done?

Start by writting an equation for the position of Marie and an equation for the position of Jason. BOth of these are going to involve the speeds of Marie and Jason, respectively, and both are going to be functions of time.
 

FAQ: How Did Jason Catch Up to Marie by 5pm?

1. How do you calculate speed?

Speed is calculated by dividing the distance traveled by the time it took to travel that distance. The formula for speed is: speed = distance / time. The unit for speed is usually in meters per second (m/s) or kilometers per hour (km/h).

2. What factors affect speed?

Several factors can affect speed, including the distance traveled, the time it takes to travel that distance, and the type of motion (e.g. linear, circular). Other factors that can impact speed include the presence of external forces such as friction or air resistance, as well as the mass and shape of the object being moved.

3. How does speed differ from velocity?

Speed and velocity are often used interchangeably, but they are not the same. Speed refers to the rate of motion, while velocity refers to the rate of motion in a specific direction. In other words, velocity takes into account both the speed and direction of an object's motion.

4. Can speed be negative?

Yes, speed can be negative. This typically occurs when an object is moving in the opposite direction of a chosen reference point. For example, if a car is traveling east and then turns around and travels west, its speed would be negative as it is moving in the opposite direction of its original motion.

5. How can we use speed in real-life situations?

Speed is used in many real-life situations, such as calculating the time it takes to travel from one place to another, determining the efficiency of transportation systems, and analyzing the performance of athletes in sports. It is also an important concept in engineering, physics, and other scientific fields.

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