A large building has an inclined roof the length of the roof is 69.0 m and the a

Question

A large building has an inclined roof the length of the roof is 69.0 m and the angle of the roof is 25 deg below the horizontal . A worker on the roof lets go of a hammer from the peak of the roof. Starting from rest, it slides down the entire length of the roof with a constant acceleration of 4.14m/s^2. After leaving the edge of the roof, it falls a vertical distance of 41.0 m before hitting the ground. a. How much time in seconds does it take the hammer to fall from the edge of the roof to the ground? b. How far horizontally in meters does the hammer travel from the edge of the roof until it hits the ground ? A large building has an inclined roof the length of the roof is 69.0 m and the angle of the roof is 25 deg below the horizontal . A worker on the roof lets go of a hammer from the peak of the roof. Starting from rest, it slides down the entire length of the roof with a constant acceleration of 4.14m/s^2. After leaving the edge of the roof, it falls a vertical distance of 41.0 m before hitting the ground. a. How much time in seconds does it take the hammer to fall from the edge of the roof to the ground? b. How far horizontally in meters does the hammer travel from the edge of the roof until it hits the ground ?

Explanation / Answer

Speed just before it leaves the cliff is v then  

Applying vf^2 - vi^2 =2 a d

v^2 - 0^2 = 2(4.14)(69)

v = 23.9 m/s

after that it leaves with angle 24 deg below horizontal,

in vertical,

yf - yi = viy t + ay t^2 /2

0 - 41 = (22.9 sin25) t - 9.8 t^2 /2

4.9 t^2 - (23.9 sin25) t - 41 = 0

t = 4.10 ..........Ans(a)

(b) in horizontal,

R = (v0x) t = (23.9 cos25)(4.10)

R = 88.8 m  

(B) t = 4.32 sec

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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