A projectile is fired at t = 0 with an initial velocity of vi at an angle of ? w

Question

A projectile is fired at t = 0 with an initial velocity of vi at an angle of ? with respect to the horizontal towards the vertical side of a building that is a distance d away as shown in the figure.
(a) Determine an equation for the time at which the projectile strikes the building. (Use any variable or symbol stated above as necessary.)
t = s

(b) Determine an equation for the height h above the ground at which the projectile strikes the building. (Use any variable or symbol stated above along with the following as necessary: g.)
h = m

Explanation / Answer

Horizontal velocity component, = ViCos

Vertical velocity component = ViSin

(a) Time taken to cover distance d is, t = d/(ViCos)

(b) height at which the projectile hits the building is given by h = (ViSin)*(d/(ViCos)) - 1/2*g*[d/(ViCos)]2

or h = dTan - 1/2*gd2/(ViCos)2

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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