a quarterback throws a football at 40.0 km/hr to a receiver 50.0 yd away. how much time does it take the ball to reach the receiver?

Respuesta :

t=d/s
40km/h x 1093.61yd/1km x 1h/60min x 1min/60s

40 x 1093.61 = 43744.4yd
 60 x 60 = 3600sec

43744.4/3600= 12.15

distance/speed=time : 50yd/12.15yd/sec = 4.11sec

answer: 4.11sec

Explanation:

Given that,

The speed of a football, v = 40 km/h

The distance between a quarterback and a receiver is, d = 50 yards

To find,

The time taken by the ball to reach the receiver.

Solution,

First km/h is converted to m/s.

[tex]40\ km/h=\dfrac{40\times 1000}{3600}\\\\=11.11\ m/s[/tex]

Also, [tex]1\ yd=0.9144\ m\\\\50\ yd=45.72\ m[/tex]

Let t is the time taken by the ball to reach the receiver. We know that,

[tex]\text{Speed}=\dfrac{\text{distance}}{\text{time}}[/tex]

So,

[tex]t=\dfrac{d}{v}[/tex]

Put all the values,

[tex]t=\dfrac{45.72}{11.11}\\\\t=4.115\ s[/tex]

or

[tex]t=4.12\ s[/tex]

Answer:

The time taken by the ball to reach the receiver is [tex]4.12\ s[/tex].

Reference,

https://brainly.com/question/10812167

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