A long jumper starts from rest and accelerates down the entirelength of the 14m

Question

A long jumper starts from rest and accelerates down the entirelength of the 14m track leading up to the jump line, at which point(s)he leaps in the air at an angle with respect to the horizontal.
Runner A accelerates at a rate of 0.55m/s2 and leaps atan angle of 30 degrees with respect to the horizontal.
Runner B accelerates at a rate of 0.40m/s2 and leaps at anangle of 40 degrees with respect to the horizontal.
1. WHICH ONE JUMPS FURTHEST? 2. WHAT IS THE DISTANCE BETWEEN THE POINTS OF LANDING?








i guess my biggest problem is i don't know what to put in towhat equation.........
Runner A accelerates at a rate of 0.55m/s2 and leaps atan angle of 30 degrees with respect to the horizontal.
Runner B accelerates at a rate of 0.40m/s2 and leaps at anangle of 40 degrees with respect to the horizontal.
1. WHICH ONE JUMPS FURTHEST? 2. WHAT IS THE DISTANCE BETWEEN THE POINTS OF LANDING?








i guess my biggest problem is i don't know what to put in towhat equation.........

Explanation / Answer

The velocity with which Runner A jumps as v2-u2=2as v2-0=2*0.55*14 vA=3.92428m/s Runner B as v=2*0.4*14 vB=3.3466m/s The horizontal range is given by, R=u2sin2/g=3.924282sin60/9.8=1.3608m R=3.34662sin80/9.8=1.1254m Runner A jumps further than Runner B as . The distance between them as d=1.3608-1.1254=0.235495M Hence we get by it. "Hope this helps!Best of luck for the rest of yourcoursework."

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