Question

Problem 28b

Answer 1

Given information

Given an athlete performing a long jump leaves the ground at a angle and lands away.

To find: If this speed were increased by just   , how much longer would the jump be?

Step-by-step explanation

Step 1.

In part  , it is calculated that the person jumps off at  . Furthermore, an equation for the horizontal distance or range was derived as follows.

 

Using these, the difference in range when the new launching speed is  higher than the original can be calculated by:

• deriving an expression for the new speed in terms of the original one
• calculating the new value of range using the derived equation above
• getting the difference between the new and the original range values

Let  and  be the original launching speed and range, respectively. The new initial speed  can be written in terms of  as: