Speed is essential in the long jump! Without speed you cannot maximize your horizontal distance traveled.
Here in this video we can see in this video that Mike Powell (the world record holder since 1991!) runs approx 35m in 5.5 seconds.
Therefore to find his average velocity V=Δd/Δt
Mike Powell's velocity: V=35m/5.5s | V= 6.36m/s
that was only Mike Powell's average velocity, to find his final velocity we would use the equation: vav= v1+v2/2 and rearrange to find v2.
6.36m/s=0+v2/2
v2=12.72m/s
Now that we have his velocity, we can find his acceleration!
Mike Powell's Acceleration: a = Δv/Δt | a=12.72m/s / 5.5s | a=2.31m/s²
Therefore to find his average velocity V=Δd/Δt
Mike Powell's velocity: V=35m/5.5s | V= 6.36m/s
that was only Mike Powell's average velocity, to find his final velocity we would use the equation: vav= v1+v2/2 and rearrange to find v2.
6.36m/s=0+v2/2
v2=12.72m/s
Now that we have his velocity, we can find his acceleration!
Mike Powell's Acceleration: a = Δv/Δt | a=12.72m/s / 5.5s | a=2.31m/s²
Projectile Motion
Projectile Motion could help us to know how far away Mike Powell would land.
Our calculations here tell us that Mike Powell would have traveled at a whooping 20.98m/s in the air!