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Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
examples, and problems from the community.
Used and loved by 4 million people
Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.
Displacement, Velocity, Acceleration
How fast are you moving? How fast is how fast you are moving changing? Displacement, velocity, and acceleration form the art of understanding movement, Calculus-style.
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
examples, and problems from the community.
Used and loved by 4 million people
Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.
Concept Quizzes
The position (in meters) of an object moving in a straight line is given by \(s(t)=4t^2 + 3t + 14,\) where \(t\) is measured in seconds. What is the equation of the instantaneous velocity \(v(t)\) of the particle at time \(t?\)
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
examples, and problems from the community.
Used and loved by 4 million people
Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.
The position in meters of a particle at time \(t\) is given by \(s(t)=t^2 + 3t\), where \(t\) is measured in seconds. What is the instantaneous velocity of the particle (in m/s) at time \(t=19\) seconds?
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
examples, and problems from the community.
Used and loved by 4 million people
Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.
The position (in meters) of an object moving in a straight line is given by \(s(t)=5t^3 + 12t^2 + 5t + 17,\) where time \(t\) is measured in seconds. What is the equation of the instantaneous velocity \(v(t)\) of the particle at time \(t?\)
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
examples, and problems from the community.
Used and loved by 4 million people
Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.
The position (in meters) of a particle moving in a straight line is given by \(s(t)=t^2 + 8t + 18,\) where \(t\) is measured in seconds. What is the instantaneous velocity of the particle at \(t=12\) seconds?
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
examples, and problems from the community.
Used and loved by 4 million people
Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.
The position (in meters) of a particle moving in a straight line is given by \(s(t)=4t^3+6t+2,\) where \(t\) is measured in seconds. What is the instantaneous velocity of the particle at \(t=8\) seconds?