Math Problem Statement
The figure gives the acceleration a versus time t for a particle moving along an x axis. The a-axis scale is set by a, 15.0 m/s². Att--20 s, the particle's velocity is 10.0 m/s. What is its velocity at t = 6.0 s?
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Kinematics
Integration
Velocity-Acceleration Relationship
Formulas
v(t) = v(t_0) + ∫(a(t) dt) from t_0 to t
Velocity-acceleration relationship: v(t) = initial velocity + change in velocity from the acceleration curve
Theorems
Fundamental Theorem of Calculus
Suitable Grade Level
Grades 11-12, College Introductory Physics
Related Recommendation
Find the speed of a particle from an acceleration-time graph at t = 6 s
Finding the Speed from an Acceleration-Time Graph for a Particle
Determine the Velocity of a Particle from an Acceleration-Time Graph at t = 5.0 s
Kinematics Problem: Finding Position from Velocity-Time Graph
Determine the Particle's Speed at t = 10.0 s from an Acceleration-Time Graph