Calculating Change in Velocity from Acceleration-Time Graphs Video Lessons

Video Thumbnail

Concept

Problem: Three particles move along the x-axis, each starting at t0 = 0 s. The graph for A is a position-versus-time graph; the graph for B is a velocity-versus-time graph; the graph for C is an acceleration-versus-time graph.(a) Find the velocity of the particle A at exttip{t}{t} = 5.5 s. (b) Find the velocity of the particle B at exttip{t}{t} = 5.5 s. (c) Find the velocity of the particle C at exttip{t}{t} = 5.5 s. Particle starts with v0x = 10 m/s at t0 = 0 s.

FREE Expert Solution

In this problem, we have position-time, velocity-time, and acceleration-time graphs. Let's check out how to determine the velocity at a given time from each graph.

(a)

In a position-time graph, velocity is given by the slope of the curve.

80% (150 ratings)
View Complete Written Solution
Problem Details

Three particles move along the x-axis, each starting at t0 = 0 s. The graph for A is a position-versus-time graph; the graph for B is a velocity-versus-time graph; the graph for C is an acceleration-versus-time graph.

(a) Find the velocity of the particle A at = 5.5 s. The graph shows x-position of the particle A as a function of time. Time is measured from 0 to 8 seconds on the x-axis. Position is measured from -30 to 30 meters on the y-axis. Position keeps the constant value of 30 meters over the course of the first 2 seconds. It drops linearly from 30 to -30 meters at the time interval of 2 to 8 seconds.

(b) Find the velocity of the particle B at = 5.5 s. The graph shows x-component of the velocity for the particle B as a function of time. Time is measured from 0 to 8 seconds on the x-axis. Velocity is measured from -30 to 30 meters per second on the y-axis. Velocity keeps the constant value of 30 meters per second over the course of the first 2 seconds. It drops linearly from 30 to -30 meters per second at the time interval of 2 to 8 seconds.

(c) Find the velocity of the particle C at = 5.5 s. Particle starts with v0x = 10 m/s at t0 = 0 s. The graph shows x-component of the acceleration for the particle C as a function of time. Time is measured from 0 to 8 seconds on the x-axis. Acceleration is measured from -30 to 30 meters per second squared on the y-axis. Acceleration keeps the constant value of 30 meters per second squared over the course of the first 2 seconds. It drops linearly from 30 to -30 meters per second squared at the time interval of 2 to 8 seconds.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Calculating Change in Velocity from Acceleration-Time Graphs concept. You can view video lessons to learn Calculating Change in Velocity from Acceleration-Time Graphs. Or if you need more Calculating Change in Velocity from Acceleration-Time Graphs practice, you can also practice Calculating Change in Velocity from Acceleration-Time Graphs practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Hayden's class at MSU.