how to figure out the height In Example 2.12, two circus performers rehearse a t

Question

how to figure out the height

In Example 2.12, two circus performers rehearse a trick in which a ball and a dart collide. Horatio stands on a platform 6.8 m above the ground and drops a ball straight down At the same moment, Amelia uses a spring-loaded device on the ground to launch a dart straight up toward the ball. The dart is launched at 17.6 m/s. Find the time and height of the collision by simultaneously solving the equations for the ball and the dart. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) time 0.38636 s height 7532 Your response differs from the correct answer by more than 10%. Double check your calculations. m

Explanation / Answer

Let ball and dart collide at x m above ground

For dart:

x = 17.6t - 0.5gt^2 (since s = ut + 1/2gt^2 and g is -ve as dart is travelling against gravity)

For ball

6.8 - x = 0t + 0.5*g*t^2 (initial velocity of ball = 0)

adding both equations we get

6.8 = 17.6t

t = 0.386 sec

putting this value in any one of equations above

6.8 - x = 0.5*9.8*(0.386*0.386)

x = 6.069 m from ground

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.