Initial Velocity Calculator

Initial Velocity Calculator:

Enter the values of final velocity, V_2(m/s), time, t_(s) and acceleration, a_(m/s2) to determine the value of  initial velocity, V_1(m/s).

Enter Final Velocity :		m/s
Enter Time :		s
Enter Acceleration :		m/s2
Result – Initial Velocity :		m/s

Initial Velocity Formula:

Initial velocity is the velocity of an object before it undergoes acceleration over a given time. It is crucial for calculations in mechanics, particularly under the laws of motion.

Initial velocity, V_1(m/s) in metres per second is equated by the difference of final velocity, V_2(m/s) in metres per second from the product of time, t_(s) in seconds and acceleration, a_(m/s2) in metres per second squared.

Initial velocity, V_1(m/s) = V_2(m/s) – t_(s) * a_(m/s2)

V_1(m/s) = initial velocity in metres per seconds, m/s.

V_2(m/s) = final velocity in metres per seconds, m/s.

t_(s) = time in seconds, s.

a_(m/s2) = acceleration in metres per second squared, m/s².

Initial Velocity Calculation:

1.A car accelerates from rest to a velocity of 20 m/s in 4 seconds and the acceleration is 5m/s², calculate the car’s initial velocity.

Given: V_2(m/s) = 20m/s, t_(s) = 4s, a_(m/s2) = 5m/s².

Initial velocity, V_1(m/s) = V_2(m/s) – t_(s) * a_(m/s2)

V_1(m/s) = 20 – 4 * 5

V_1(m/s) = 80m/s.

2.A car travels at an initial speed of 30 m/s. It decelerates at a rate of 2 m/s² until its final speed is 20 m/s. Calculate the time it takes for this change in speed.

Given: V_2(m/s) = 20m/s, V_1(m/s) = 30m/s, a_(m/s2) = -2m/s².

Initial velocity, V_1(m/s) = V_2(m/s) – t_(s) * a_(m/s2)

t_(s) = V_2(m/s) – V_1(m/s) / a_(m/s2)

t_(s) = 20 – 30 / -2

t_(s) = -10 / -2

t_(s) = 5s.