If an athlete runs at a speed of 12 m/s, what is the longest jump he can make (g = 10 m/s²)?
Answer: 14.4 m
Explanation
Step 1: Use projectile motion
The maximum range of a projectile (ignoring air resistance) is given by:
R=v^2sin(2θ)/g
The maximum range occurs when θ=45∘the value is maximum at (i.e.,sin(90∘)=1).
Step 2: Plug in values
-
v=12 m/s
-
g=10 m/s^2
R=12^2⋅1 / 10
= 144/10
=14.4 meters
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