Question

2. In a football game, running back is at the 10 yard line and running up the
field towards the 50 yard line, and runs for 3 seconds at 8 yd/s. What is his
current position (in yards)?​

Answer 1

$\huge{\rm{\underline{\underline{\bigstar{Answer}}}}}$

His current position is at 34 yards.

$\rm{\underline{\bigstar{Step-by-step\:Explanation:-}}}$

It is given in the question that-

Distance already covered by him = 10 yards.

Also,

he runs for 3 seconds at the speed of 8 yards per second.

We know that -

$\large{\sf{Speed = \dfrac{Distance}{Time}}}$

$\large{\sf{\implies \: Distance = Speed \times \: Time}}$

$\large{\sf{\implies Distance = ( 8 \times 3 ) \:yards}}$

$\large{\sf{\implies Distance = 24\:yards. }}$

Total distance = (10 + 24) yards

= 34 yards.

Hence, the current position is at 34 yards.

$\rm{\underline{\bigstar{Extra\:info:-}}}$

$\large{\rm{\underline{\star{Distance:-}}}}$

The length of the path travelled by a moving body in a time interval is called distance. It is a scalar quantity .

$\large{\rm{\underline{\star{Displacement:-}}}}$

The shortest distance travelled by a moving body between any two points is called displacement . It is a vector quantity .

$\large{\rm{\underline{\star{Speed :-}}}}$

The distance travelled by a moving body in unit time interval is called speed . It is a scalar quantity .

$\large{\rm{\underline{\star{Velocity :-}}}}$

The displacement of a body in unit time interval is called velocity . It is a vector quantity .

Answer 2

$\boxed{ <strong><em><u> </u></em></strong><strong><em><u>Answer</u></em></strong><strong><em><u> </u></em></strong>}$

34 yards

Given that

Distance covered = 10 yards

Time taken = 3 sec

speed = yard/sec

so, Distance

Distance = speed × time

= 8 × 3

= 24 yards

so, his current position would be

= 10 + 24

= 34 yards

therefore his current position is in the 34 yards of line.

More Information – :

Speed = Speed is a way of measuring how quickly something is moving or being done, or something moving fast

Distance = Displacement is a vector quantity that refers to "how far out of place an object is". it is the object's overall change in position.

Velocity = Velocity, is a vector quantity that indicates distance per time and direction.