s usually denotes position or displacement, not velocity. How do you find velocity from displacement?MiniOreo1998 said:Homework Statement
For each function, find an expression for the velocity and the value of the displacement and velocity at t=5. Displacement is in metres and time is in seconds.
Homework Equations
A)[/B] s(t) = 3t + 7
B) s(t) = t3 - 2t2 + 4t - 1The Attempt at a Solution
A) [/B]s(t) = 3t + 7
s(5) = 3(5) + 7
= 22 m/s
B) s(t) = t3 - 2t2 + 4t - 1
s(5) = 53 - 2(5) + 4(5) - 1
=94 m/s
Velocity is a vector quantity that refers to the rate of change of an object's position with respect to time. It includes both the magnitude and direction of the object's motion. Displacement, on the other hand, is a vector quantity that refers to the change in an object's position in a specific direction. It does not take into account the object's path or the time taken to cover the distance.
Velocity is calculated by dividing the change in an object's position (displacement) by the time taken to cover that change. In other words, velocity equals displacement divided by time. The SI unit for velocity is meters per second (m/s).
Yes, velocity can be negative. This indicates that the object is moving in the opposite direction of the chosen positive direction. For example, if an object is moving east with a velocity of +10 m/s, and then starts moving west with a velocity of -10 m/s, the change in direction results in a negative velocity.
Displacement is a measure of the total change in an object's position, while velocity is a measure of the rate of change of an object's position. In other words, velocity is the derivative of displacement with respect to time.
Yes, an object can have a constant velocity but changing displacement. This occurs when the object is moving in a straight line at a constant speed. Although the velocity remains the same, the displacement is constantly increasing as the object continues to move forward.