# 3 2 Instantaneous Velocity And Speed Calculate the total displacement given the position as a function of time. The displacement can be found by subtracting the initial position, +20 m, from the final position, +60 m. However in case of motion along the straight line without change in direction, magnitude of displacement would be equal to distance and two definitions would mean the same. Question 1 A car travels first half distance between two places with a speed of 40 Km/hr and the rest half with a speed of 60 Km/hr. From this we can say that average speed depending on distance is in general greater than magnitude of velocity.

Give an example that illustrates the difference between these two quantities. Instantaneous velocity is a continuous function of time and gives the velocity at any point in time during a particle’s motion. We can calculate the instantaneous velocity at a specific time by taking the derivative of the position function, which gives us the functional form of instantaneous velocity v.

She runs at 1 m/s for 1/3 of the time and 1.5 m/s for the remaining time. On her way back home she runs at 1 m/s for half the distance and at 1.5 m/s for the rest of the trip. Find the average speed of the particle over the first 7 seconds and the when making college visits, you may be able to… instantaneous speed of the particle at 5.0 seconds. Also, find the instantaneous acceleration at 0.5 seconds. The average velocity is defined as the displacement divided by the time. If there is no displacement there can be no average velocity.

( Since that portion of the graph is a straight line parallel to the x-axis). Here the initial point is P and the final point is S. B) Find out the magnitude of the displacement of the vehicle.

Determine 1D expressions for acceleration ax, velocity vx, and position x, given that its initial acceleration, velocity, and position are axi, vxi, xi, respectively. The position of a pinewood derby car was observed at various times; the results are summarized in the following table. Find the average velocity of the car for the first second, the last 3 s, and the entire period of observation. On February 15, 2013, a superbolide meteor entered Earth’s atmosphere over Chelyabinsk, Russia, and exploded at an altitude of 23.5 km. Eyewitnesses could feel the intense heat from the fireball, and the blast wave from the explosion blew out windows in buildings.

We use the uppercase Greek letter delta (Δ) to mean “change in” whatever quantity follows it; thus, \textx [/latex] means change in position . We always solve for displacement by subtracting initial position _ [/latex] from final position _ [/latex]. Note that the SI unit for displacement is the meter, but sometimes we use kilometers or other units of length. Keep in mind that when units other than meters are used in a problem, you may need to convert them to meters to complete the calculation . Find the total distance traveled by the particle from to . To find the displacement from the velocity function, we just integrate the function.