Along jumper leaves the ground at an angle of 18.7 ◦ to the horizontal and at a speed of 9.89 m/s. how far does he jump? the acceleration due to gravity is 9.8 m/s 2 .

6.062 m

Explanation:

This situation is related to projectile motion or parabolic motion, which has two components: x-component and y-component. Being their main equations as follows:  

x-component:  

  (1)  

Where:  

is the jumper's initial velocity

is the angle  

is the time since the jumperleaves the ground and falls again

y-component:  

  (2)  

Where:  

 is the initial height of the jumper

 is the final height of the jumper (when it finally hits the ground)  

 is the acceleration due gravity

We need to find the horizontal distance, but firstly we will find the time with (2):

  (3)  

  (4)  

Substituting (4) in (1):

  (5)  

  (6)  

  (7)  

Finally:

d is the correct answer