Question

1. a man on a bicycle travels 40 miles in 3 hours. what is his average velocity?
2. what is the average velocity for an object if it travels 30.51 m in 19.39 s?
3. an object travels at a constant velocity of 12.17 m/s for a time period of 12.86 s. what is its displacement over this time?
4. an object travels at a constant velocity for a time period of 13.86 s over a displacement of 17.46 m. what is the value of this constant velocity?
5. how much time passes when an object travels at a constant velocity of 13.34 m/s over a displacement of 16.38 m?
6. a pitcher throws a baseball at 132 ft/sec. how much time does it take the ball to reach the batter 60 ft away?
7. if steve throws a football 50 meters in 3 seconds, what is the average velocity of the football?
8. ken drives a motorboat 1000 meters in 7 seconds. how fast did he go?
9. two people are running a 500 meter race. the first runner runs it in 50 seconds and the second runs it in 55 seconds. what is the average speed of each person?
10. a baseball is thrown to home plate from 40 yards away and is caught 1.5 seconds later. what is the average speed in yards per second?

Explanation:

Step1: Record la fórmula de velocidad

La velocidad $v=\frac{d}{t}$, donde $d$ es el desplazamiento y $t$ es el tiempo.

Step2: Resolver el problema 2

Dado $d = 40$ millas y $t=3$ horas. Entonces $v=\frac{40}{3}\approx13.33$ millas/hora.

Step3: Resolver el problema 3

Dado $d = 30.51$ m y $t = 19.39$ s. Entonces $v=\frac{30.51}{19.39}\approx1.57$ m/s.

Step4: Resolver el problema 4

Dado $v = 12.17$ m/s y $t=12.86$ s. Usando la fórmula $d=v\times t$, entonces $d=12.17\times12.86 = 156.5162$ m.

Step5: Resolver el problema 5

Dado $d = 17.46$ m y $t = 13.86$ s. Entonces $v=\frac{17.46}{13.86}\approx1.26$ m/s.

Step6: Resolver el problema 6

Dado $v = 13.34$ m/s y $d = 16.38$ m. Usando la fórmula $t=\frac{d}{v}$, entonces $t=\frac{16.38}{13.34}\approx1.23$ s.

Step7: Resolver el problema 7

Dado $v = 132$ ft/sec y $d = 60$ ft. Usando la fórmula $t=\frac{d}{v}$, entonces $t=\frac{60}{132}\approx0.45$ s.

Step8: Resolver el problema 8

Dado $d = 50$ m y $t = 3$ s. Entonces $v=\frac{50}{3}\approx16.67$ m/s.

Step9: Resolver el problema 9

Dado $d = 1000$ m y $t = 7$ s. Entonces $v=\frac{1000}{7}\approx142.86$ m/s.

Step10: Resolver el problema 10

Para el primer corredor, $d = 500$ m y $t = 50$ s, entonces $v_1=\frac{500}{50}=10$ m/s. Para el segundo corredor, $d = 500$ m y $t = 55$ s, entonces $v_2=\frac{500}{55}\approx9.09$ m/s.

Step11: Resolver el problema 11

Dado $d = 40$ yardas y $t = 1.5$ s. Entonces $v=\frac{40}{1.5}\approx26.67$ yardas/s.

Answer:

Problema 2: 13.33 millas/hora
Problema 3: 1.57 m/s
Problema 4: 156.5162 m
Problema 5: 1.26 m/s
Problema 6: 1.23 s
Problema 7: 0.45 s
Problema 8: 16.67 m/s
Problema 9: 142.86 m/s
Problema 10: Primer corredor: 10 m/s, Segundo corredor: 9.09 m/s
Problema 11: 26.67 yardas/s