An arrow is released from point A on the hill (as shown) with an initial velocit

Question

An arrow is released from point A on the hill (as shown) with an initial velocity u = 5 m/s at right angle to the slope of the hill. The hill is inclined at an angle ?=30

An arrow is released from point A on the hill (as shown) with an initial velocity u = 5 m/s at right angle to the slope of the hill. The hill is inclined at an angle theta = 30 degree w. r. t horizontal. Find the range R of the arrow where it hits the ground (Assume the point of impact lies on the hill). Work only in the coordinate system as shown. Neglect any drag.

Explanation / Answer

acceleration in x = g* sin 30

accelration in y = g* cos 30

time of flight = 2* time taken to reach max height = 2*u/(g*cos 30) = 1.17826 s

now in x-direction

h = ux*t + 0.5*g*t^2 = 0 + 0.5*g*sin 30 *1.17826^2 = 3.4 metres

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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