1. The equation- V(m/s)= change in velocity/change in time(m/s/s) (time(s)) + starting velocity(V naught)(m/s) 2. The slope is the change in velocity/change in time, it's the rate at which velocity changes over time; linear 3. The units- meters/second/second
1) velocity(m/s) = delta (or the change in) velocity/ delta time(m/s/s) x time(seconds) + V naught (or the velocity at the beginning of the event) (m/s) 2) Meaning of the slope: the rate at which velocity changes over time Meaning of the y-intercept: velocity when the event began (aka V naught) 3) The units for slope are meters over seconds over seconds (m/s/s) Bonus: The area for a velocity time graph represents a positive and increasing change
1. Velocity (m/s)= delta y (velocity)/ delta x (seconds) + V naught (the velocity at the start of the recorded period) 2. The slope is the increasing or decreasing rate of the velocity in any given time period 3. m/s/s
1. velocity (m/s) = delta velocity / delta time (m/s/s) x time (s) + v naught (m/s)
2. The slope represents the change in velocity over the change in time (the rate at which velocity changes over time). The y-intercept represents v naught (the point at which the velocity was 0).
3. m/s/s
Bonus: The area for a velocity vs time graph represents a positive and increasing change.
1. V= difference v over difference in time multiplied by time (seconds) plus v naught (m/s) 2. Slope represents change of v over change of t. Y-int represents v naught 3. Meters per second / seconds
velocity(m/s)= delta y- velocity/ delta x time(m/s/s) x time (s) + velocity naught (m/s) slope- the rate in which velocity changes in a certain amount of time - the change in velocity over the change in time y intercept- the objects starting velocity- velocity naught meter per second per second
1. V= delta v over delta time multiplied by time (seconds) plus v naught (m/s) 2. Slope represents change of v over change of t. Y-int represents starting position (v naught) 3. m/s/s
Sara VanDyke Velocity(m/s)=slope(m/s/s) x time(seconds)+ v naught (m/s) The rate at which velocity changes Slope = velocity/time so the slope is meters per second/seconds
I'm sorry, I meant to bring my revised graphs to you today at lunch but I had a history test the next mod that I had to study for. I'll bring it in lunch tomorrow if that's okay. Thanks
1. The equation of a velocity vs. time graph is: V(m/s)= ΔV(m/s)/Δt(s) *t(s)+V₀(m/s) where V is velocity and t is time.
2a. The formula for slope is represented as the change in y over the change in x, or Delta(Δ) y/ Delta(Δ) x. Since we are working with a velocity vs. time graph, velocity is on the y-axis and time is on the x-axis; therefore, x is to y as V is to t. Therefore, the slope is ΔV/Δt. The formula for acceleration is a(m/s/s or m/s²)= ΔV(m/s)/Δt(s). Therefore, since the slope is equivalent to ΔV/Δt and ΔV/Δt is equivalent to acceleration, the slope represents acceleration.
2b. The y-intercept represents the point on a graph where x=0. Since velocity is on the y-axis and time is on the x-axis, the y-intercept represents the point where t=0. When t=0, the experiment has not yet begun. Thus, the y-intercept, or V naught (V₀) represents the velocity of the object before the start of the test.
3. Slope is expressed as Δy/Δx, or, in this case, ΔV/Δt. Velocity is measured in meters per second (m/s) and time is measured in seconds (s). Since velocity is being divided by time, their units must correspond accordingly. ΔV/Δt must, then, be expressed as m/s/s or m/s² because you are dividing the units of velocity (m/s) by the units of time (s).
Bonus: The area of a velocity vs. time graph (under the velocity vs. time line) should be equal to the distance traveled. I used this video for reference: https://www.khanacademy.org/science/physics/one-dimensional-motion/acceleration_tutorial/v/why-distance-is-area-under-velocity-time-line TR
1. The equation- V(m/s)= change in velocity/change in time(m/s/s) (time(s)) + starting velocity(V naught)(m/s)
ReplyDelete2. The slope is the change in velocity/change in time, it's the rate at which velocity changes over time; linear
3. The units- meters/second/second
1) velocity(m/s) = delta (or the change in) velocity/ delta time(m/s/s) x time(seconds) + V naught (or the velocity at the beginning of the event) (m/s)
ReplyDelete2) Meaning of the slope: the rate at which velocity changes over time
Meaning of the y-intercept: velocity when the event began (aka V naught)
3) The units for slope are meters over seconds over seconds (m/s/s)
Bonus: The area for a velocity time graph represents a positive and increasing change
1. Velocity (m/s)= delta y (velocity)/ delta x (seconds) + V naught (the velocity at the start of the recorded period)
ReplyDelete2. The slope is the increasing or decreasing rate of the velocity in any given time period
3. m/s/s
1. velocity (m/s) = delta velocity / delta time (m/s/s) x time (s) + v naught (m/s)
ReplyDelete2. The slope represents the change in velocity over the change in time (the rate at which velocity changes over time). The y-intercept represents v naught (the point at which the velocity was 0).
3. m/s/s
Bonus: The area for a velocity vs time graph represents a positive and increasing change.
1. V= difference v over difference in time multiplied by time (seconds) plus v naught (m/s)
ReplyDelete2. Slope represents change of v over change of t. Y-int represents v naught
3. Meters per second / seconds
velocity(m/s)= delta y- velocity/ delta x time(m/s/s) x time (s) + velocity naught (m/s)
ReplyDeleteslope- the rate in which velocity changes in a certain amount of time - the change in velocity over the change in time
y intercept- the objects starting velocity- velocity naught
meter per second per second
1. V= delta v over delta time multiplied by time (seconds) plus v naught (m/s)
ReplyDelete2. Slope represents change of v over change of t. Y-int represents starting position (v naught)
3. m/s/s
Sara VanDyke
ReplyDeleteVelocity(m/s)=slope(m/s/s) x time(seconds)+ v naught (m/s)
The rate at which velocity changes
Slope = velocity/time so the slope is meters per second/seconds
Velocity=change of V/change of t x time(s) + V naught
ReplyDeleteThe rate of change of velocity
Slope is velocity/time (meters per second/seconds)
J.C.
I'm sorry, I meant to bring my revised graphs to you today at lunch but I had a history test the next mod that I had to study for. I'll bring it in lunch tomorrow if that's okay. Thanks
ReplyDelete1. The equation of a velocity vs. time graph is: V(m/s)= ΔV(m/s)/Δt(s) *t(s)+V₀(m/s) where V is velocity and t is time.
ReplyDelete2a. The formula for slope is represented as the change in y over the change in x, or Delta(Δ) y/ Delta(Δ) x. Since we are working with a velocity vs. time graph, velocity is on the y-axis and time is on the x-axis; therefore, x is to y as V is to t. Therefore, the slope is ΔV/Δt. The formula for acceleration is a(m/s/s or m/s²)= ΔV(m/s)/Δt(s). Therefore, since the slope is equivalent to ΔV/Δt and ΔV/Δt is equivalent to acceleration, the slope represents acceleration.
2b. The y-intercept represents the point on a graph where x=0. Since velocity is on the y-axis and time is on the x-axis, the y-intercept represents the point where t=0. When t=0, the experiment has not yet begun. Thus, the y-intercept, or V naught (V₀) represents the velocity of the object before the start of the test.
3. Slope is expressed as Δy/Δx, or, in this case, ΔV/Δt. Velocity is measured in meters per second (m/s) and time is measured in seconds (s). Since velocity is being divided by time, their units must correspond accordingly. ΔV/Δt must, then, be expressed as m/s/s or m/s² because you are dividing the units of velocity (m/s) by the units of time (s).
Bonus: The area of a velocity vs. time graph (under the velocity vs. time line) should be equal to the distance traveled. I used this video for reference: https://www.khanacademy.org/science/physics/one-dimensional-motion/acceleration_tutorial/v/why-distance-is-area-under-velocity-time-line
TR
Where can we find the graph paper to print out for our homework?
ReplyDeletehttp://donnayoung.org/math/graph-paper-2.htm
ReplyDelete