Uniform Acceleration
Uniform acceleration is when the acceleration is constant.
If an object has an acceleration of 5m/s2, then this means for every 1 second that passes the velocity will increase by 5m/s.
In this case the acceleration is uniform.
Equation of Motion
The following equation of motion can be used if the acceleration is uniform.
Example Calculations
1.A car has an initial velocity of 4m/s and travels over a distance of 50m, with a uniform acceleration of 2m/s2. Calculate the final velocity of the car.
V2-U2 = 2as
rearrange to make v the subject
v = ?, u = 4m/s, s = 50m, a = 2m/s2
2. A car accelerates from rest to a speed of 10m/s over a distance of 4m. Calculate the car’s acceleration
a = (v2-u2)/2s
a =?, V = 10m/s, U = 0m/s (at rest), s = 4m.
a = (102 – 02)/2×4
a = (100-0)/8
a = 100/8
a = 12.5m/s2
3.A man runs from rest with a uniform acceleration of 1m/s2 reaching a final velocity of 5m/s. Calculate the distance he travels to reach his final velocity.
s = (v2-u2)/2a
v = 5m/s, u = 0m/s (at rest), a = 1m/s2
s = (52-02)/2 x1
s = 25/2
s = 12.5m
4.A motorbike reaches a velocity of 8m/s after accelerating at 2m/s2 over a distance of 12m. Calculate the initial velocity of the motorbike.
Practice Question
1.A football is kicked from rest and accelerates to a maximum velocity of 3m/s over a distance of 5m. Calculate the acceleration of the football.
2. A train decreases its velocity from 25m/s to rest with an acceleration of -4m/s2. Calculate the distance travelled for the train to stop.
3. A cyclist reaches a velocity of 5m/s after accelerating at 1m/s2 for a distance of 4m. Calculate the initial velocity of the cyclist.
4. A lion accelerates from rest to reach a final velocity, using an acceleration of 2m/s2 over a distance of 3m. Calculate the final velocity of the lion.
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