If the acceleration is constant, it is possible to find acceleration without time if we have the initial and final velocity of the object as well as the amount of displacement. The formula v2=u2+2as where v is the final velocity, u is the initial velocity, a is the acceleration and s is the displacement is used.

Useful equations related to acceleration, average velocity, final velocity and distance traveled

• Average Velocity. va = (v1 + v0) / 2 (1)
• Final Velocity. v1 = v0 + a t (2)
• Distance Traveled. s = (v0 + v1) t / 2 (3)
• Acceleration. a = (v1 – v0) / t (4)
• Example – Accelerating Motorcycle.

Multiply the acceleration by time to obtain the velocity change: velocity change = 6.95 * 4 = 27.8 m/s . Since the initial velocity was zero, the final velocity is equal to the change of speed. You can convert units to km/h by multiplying the result by 3.6: 27.8 * 3.6 ≈ 100 km/h .

Velocity: Velocity is a physical vector quantity. It has a magnitude as well as direction….Speed & Velocity.

Velocity (v) is a vector quantity that measures displacement (or change in position, Δs) over the change in time (Δt), represented by the equation v = Δs/Δt. Speed (or rate, r) is a scalar quantity that measures the distance traveled (d) over the change in time (Δt), represented by the equation r = d/Δt.

Speed, being a scalar quantity, is the rate at which an object covers distance. The average speed is the distance (a scalar quantity) per time ratio. Velocity is the rate at which the position changes. The average velocity is the displacement or position change (a vector quantity) per time ratio.

Units. Acceleration has the dimensions of velocity (L/T) divided by time, i.e. L T−2. The SI unit of acceleration is the metre per second squared (m s−2); or “metre per second per second”, as the velocity in metres per second changes by the acceleration value, every second.

In physics or physical science, acceleration (symbol: a) is defined as the rate of change (or derivative with respect to time) of velocity. It is thus a vector quantity with dimension length/time². In SI units, acceleration is measured in meters/second² using an accelerometer.

Velocity is a measure of how quickly an object moves. So, the velocity is the change in the position of an object, divided by the time. Velocity has a magnitude (a value) and a direction. The velocity is 12.5 m/s, in the direction of the finish line.

Answer to Essential Question 2.3: Some examples of constant velocity (or at least almost- constant velocity) motion include (among many others): • A car traveling at constant speed without changing direction. A hockey puck sliding across ice. A space probe that is drifting through interstellar space.

The Types of Velocity

• Constant Velocity. An object with a constant velocity does not change in speed or direction.
• Changing Velocity. Objects with changing velocity exhibit a change in speed or direction over a period of time.
• Mathematics of Acceleration.
• Instant Velocity.
• Terminal Velocity.

A body may have zero velocity but non-zero acceleration. For example, when a body is thrown vertically upwards at the maximum height the body momentarily comes to rest.

magnitude of Force due to gravity=magnitude of Restoring force, then the acceleration of the body is zero, and the body has maximum constant velocity. If there is a net upward force, then there is also an acceleration, but the velocity is zero.

NO. Because zero acceleration means no change of acceleration. That is no increase or decrease of acceleration throughout the path. As for zero acceleration, the car is moving at a constant velocity (no change in velocity = 0 acceleration).

Acceleration has a different story. At the middle (x = 0), acceleration is zero. At the extreme ends, when a spring is at its maximum stretch or compress, the spring force is at its maximum magnitude, and therefore the acceleration it gives to the attached mass is maximum.

At the position of maximum displacement, the restoring force is at its greatest – the acceleration of the mass will be greatest.

In simple harmonic motion (for example a spring moving horizontally), acceleration is greatest when the mass reaches either end of the spring. Using the formula F=ma=kx and then a=kxm, it makes sense that acceleration is greatest when x is max.