Initial Velocity Equations Math

The reason we substitute t 0 is because the question wants us to find initial velocity or the velocity when the timer started counting.

Initial velocity equations math. What will be the height of an object with an initial velocity of 6 f s and an initial height of 13 ft after 2 5 secs. In this article we model the motion along a curve in three dimensions. What is your round trip speed and velocity. Velocity math word problems the velocity of an object is the time rate of change of its position.

20 m s to the south. What will be the height of an object with an initial velocity of 13 f s and an initial height of 6 ft after 2 5 secs. Initial velocity u final velocity v time taken t distance travelled or displacement s acceleration a 4 if final velocity distance and time are provided then initial velocity is u 2 left frac s t right v initial velocity solved examples. V i 30 0 m s 0.

Math s ut frac 1 2 at 2 qquad 1 math math v u at qquad 2 math math v 2 u 2 2as qquad 3 math math s. Initial velocity formula questions. Velocity 130 m 100 s east 1 3 m s east. In everyday use and in kinematics the speed of an object is the magnitude of its velocity the rate of change of its position scalar.

I assume that your 4 kinematic equations are. 1 a train is moving slowly through a city. Use the velocity equation found in 1. Velocity is a specification of an object s speed and direction of motion e g.

Substitute t 0 and the a value found in 1. After this acceleration the velocity of the train is 30 0 m s. V i v f at. Below are some problems based on initial velocity which may be helpful for you.

Assuming you are not including air resistance which would make this problem far more difficult the kinematic equations would be the usual s a 2 t 2 vt d where a is the acceleration vector v is the initial velocity vector and d is the initial position vector. Have you done any calculus in 3d yet. A t 2 i 6t j 12t 2 k v 0 i r 0 7 j 2 k. Differentiate the displacement equation s to get the velocity equation v.

What was the initial velocity. Find the velocity and position vectors of a particle that has the given acceleration and the given initial velocity and position. By representing an object s path as a vector function we can easily find the object s velocity and acceleration. Yes the velocity is zero as you ended up where you started.

How long will an object with an initial velocity of 13 f s and an initial height of 6 ft remain in the air. Once outside the city the engine accelerates at 0 40 m s 2 for 60 0 s. You forgot your money so you turn around and go back home in 120 more seconds. The initial velocity can be found using the formula.