MHB Motion along a straight line by a car

Click For Summary
The discussion revolves around a problem involving motion along a straight line, specifically determining when a car is traveling at 70 mph. Participants clarify that "v(t)" typically represents velocity at time t, but its definition is not provided in the problem, which only defines "s(t)" as the position function. The derivative of the position function, s'(t), represents speed, leading to the conclusion that the correct expression for when the car is going 70 mph is s'(t) = 70. This highlights the importance of understanding function notation and the relationship between position and velocity in motion problems. Overall, the focus is on correctly interpreting the mathematical expressions related to the car's speed.
Nero1
Messages
1
Reaction score
0
Part B of the following problem seems to be fairly straightforward, but I can't seem to understand it properly. I might be overthinking the problem entirely.

Would anyone be willing to help?
 

Attachments

  • Screenshot (3).png
    Screenshot (3).png
    17.4 KB · Views: 109
Mathematics news on Phys.org
(b) asks you to "use function notation" to express the question "When is the car going 70 mph". On the left side of the equal sign you have "v(t)". Were you given that or did you choose it? Often "v(t)" is used to indicate the speed or velocity at time t but there is nothing in the problem that defines v(t). The only thing defined here is s(t). The speed, at time t, is the derivative of that, s'(t). I would answer s'(t)= 70.
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
View full post »

Similar threads

MHB Mechanics- general motion in a straight line.
  • · Replies 2 ·
Replies
2
Views
2K
MHB What is the maximum distance of P from point O during the motion?
  • · Replies 10 ·
Replies
10
Views
2K
High School Cartesian Space vs. Euclidean Space
  • · Replies 10 ·
Replies
10
Views
2K
MHB Homework: Bisectors and Intersection Points of Straight Lines
  • · Replies 1 ·
Replies
1
Views
3K
Moving in a straight line with multiple constraints
  • · Replies 98 ·
4
Replies
98
Views
6K
Studying Poor at problem solving -- I'm looking for changes to my approach
  • · Replies 6 ·
Replies
6
Views
810
High School Validating Darts Tournament Skill Levels: A Non-Intrusive Approach
  • · Replies 4 ·
Replies
4
Views
2K
MHB How Can Rocket Fuel Expulsion Maximize a Car's Kinetic Energy?
  • · Replies 12 ·
Replies
12
Views
3K
Time dilatation between straight and curved lines in Minkowsi space
  • · Replies 19 ·
Replies
19
Views
2K
Undergrad Line count in a simple program
  • · Replies 16 ·
Replies
16
Views
3K