An athlete executing a long jump leaves the ground at a 35° angle and travels 8.30 m. What was the takeoff sp

Question

If this speed were increased by just 5.0 percent, how much longer would the jump be?

Answer 1

First, consider the flight in the vertical. The time to apogee is half the total flight time and at apogee
vy(t)=0=v*sin(35)-g*t
t=v*sin(35)/g
total flight time is
2*v*sin(35)/g

we know that x(t)=v*cos(35)*t
and at range of 8.3
8.3=2*v^2*sin(35)*cos(35)/g

solve for v

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