Question

Consider a cannon on top of a cliff of height h = 60 m located at x = 0. It shoots a cannonball of mass m = 4 kg horizontally with an initial speed of v0 = 90 m/s. Ignore air resistance.

(a.) Immediately after the cannonball leaves the cannon what are the x and y components of it's velocity? (b.) right after the cannonball leaves the cannon, what are the x and y components of it's acceleration? (c.) How long in seconds does the cannon ball remain in the air? (d.) What value of x does the cannonball hit the ground (e.) What are the x and y component of it's velocity right before hitting the ground?

Answer 1

(a) immediately after leaving cannon, velocity component are

= 90 m/sec

= 0 m/sec

(b) Components of acceleration are

= 0

(c)

(D) x = T. = 3.5 x 90 m

= 315 m

(E)   = 90 m/sec

= - 9.8 x 3.5 m/sec

= - 34.3 m/sec

Negative sign shows that velocity is downward.