A parachutist's rate during a free fall reaches kilometers per hour. What is this rate in meters per second? At this rate, how many meters will the parachutist fall during seconds of free fall? Do not round your answers.

Complete question :

A parachutist's speed during a free fall reaches 162 kilometers per hour. What is this speed in meters per second? At this speed, how many meters will the parachutist fall during 20 seconds of free fall? Do not round your answers.

45 m/s ; 900 meters

Step-by-step explanation:

Given that :

Speed = 162 kilometers per hour ;

The speed in meters per second can be found by:

162 km/hr = (162 * 1000)m / (60 * 60) second

162 km/hr = 162000m / 3600 s

162 km/hr = 45 m/s

At this speed, how many meters will the parachutist fall during 20 seconds of free fall?

Speed of free fall = 45m /s

Distance in meters after 20 seconds :

(45 m/s * 20s) = 900 meters

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions