Question

1. k13q2

points: 0/1
rickey henderson, baseballs record holder for stolen bases, approaches third base. he dives headfirst, hitting the ground at 7.85 m/s and reaching the base at 4.92 m/s, accelerating at -4.89 m/s/s. determine the distance rickey slides across the ground before touching the base.
distance
m
info attempts: 2/∞
submit
help links

1. k13q3

points: 0/2
captain john stapp is often referred to as the \fastest man on earth.\ in the late 1940s and early 1950s, stapp ran the u.s. air forces aero med lab, pioneering research into the accelerations which humans could tolerate and the types of physiological effects which would result. manning the rocket sled on the famed gee whiz track, stapp tested acceleration and deceleration rates in both the forward-sitting and backward-sitting positions. he would accelerate to aircraft speeds along the 1200-foot track and abruptly forward-sitting and backward-sitting positions. he would accelerate to aircraft speeds along the 1200-foot track and abruptly decelerated from 269 m/s (603

Explanation:

Step1: Identify known variables

Initial velocity $v_0 = 7.85\ \text{m/s}$, final velocity $v = 4.92\ \text{m/s}$, acceleration $a = -4.89\ \text{m/s}^2$

Step2: Select kinematic equation

Use $v^2 = v_0^2 + 2ax$, solve for $x$:
$x = \frac{v^2 - v_0^2}{2a}$

Step3: Substitute values into formula

$x = \frac{(4.92)^2 - (7.85)^2}{2\times(-4.89)}$

Step4: Calculate numerator and denominator

Numerator: $4.92^2 - 7.85^2 = 24.2064 - 61.6225 = -37.4161$
Denominator: $2\times(-4.89) = -9.78$

Step5: Compute final distance

$x = \frac{-37.4161}{-9.78} \approx 3.83$

Answer:

$3.83\ \text{m}$