Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

(A) How do the vertical and horizontal components of its velocity vary with time

ID: 2053289 • Letter: #

Question

(A) How do the vertical and horizontal components of its velocity vary with time?

Analyze The initial velocity in the x-direction vxi is related to the initial speed by

vxi = vi cos 35°
The constant velocity in the x-direction means that the equation describing the time dependence of x for the particle, with x0 taken as 0, is
x = x0 + vxit = 0 + ? . m/s
The equation for the vertical coordinate, which is constantly accelerating downward at g = 9.8 m/s2, is
y = y0 + vyit - ½gt2 = ( ? m/s) + ( ? m/s2) t2

Explanation / Answer

Horizontal component of the velocity wont change since there is no acceleration it will be vcos35 i Vertical component of the velocity will change since it is under acceleration v = u+ at v = vsin35 - gt this is how vertical component will vary