An object is moving at a speed of 3 + 2 ππ‘/π . How long would it take the
object to travel 20 ππ‘? [looking for actual solution and not decimal approximation]
To determine how long it would take for the object to travel 20 ft, we need to set up an equation using the given information.
The speed of the object is given as 3 + 2ππ‘/π , where ππ‘ represents time in seconds. The unit of speed is ft/s.
Let's set up the equation:
Distance = Speed Γ Time
We want to find the time it takes for the object to travel 20 ft. So, we can write:
20 ππ‘ = (3 + 2ππ‘/π ) Γ ππ‘
Now, let's solve for ππ‘.
First, distribute the ππ‘ on the right-hand side:
20 ππ‘ = 3ππ‘ + (2ππ‘/π ) Γ ππ‘
Combine the like terms:
20 ππ‘ = 3ππ‘ + 2ππ‘Β²/π
Rearrange the equation to isolate the quadratic term:
2ππ‘Β²/π = 20 ππ‘ - 3ππ‘
2ππ‘Β²/π = 17 ππ‘
Now, divide both sides by 2ππ‘/π :
2ππ‘/π = 17
Finally, solve for ππ‘ by multiplying both sides by π /2:
ππ‘ = 17π /2
So, the time it would take for the object to travel 20 ft is given by the equation ππ‘ = 17π /2.