Question

During a high school track meet, an athlete performing the long jump runs and leaps at an angle of 25° and lands in a sand pit 8.5 m from his launch point. If the launch point and landing points are at the same height, y 0m, with what speed does the athlete land?

a) 6 m/s,
(b) 8 m/s,
(c) 10 m/s,
(d) 2 m/s,
(e) 4 m/s.

Answer 1

10m/s. C

Step-by-step explanation:

Projectile motion is the motion of a body along a curved path

.there is a maximum height reached which the body stops moving temporarily.

Range is U^2sin2α/g

U= speed

g=acceleration due to gravity

α= angle if projection to

the horizontal

R= range( horizontal distance from the take off point) 8.5m

8.5=U^2*sin2(25°)/9.81

9.81*8.5=U^2*0.766

8.5*9.81/(Sin(50)=U^2

108.85=U^2

U=10.43318680083

U=10m/s. C

the speed which the boy lands is 10m/s