Exercise 3.16 On level ground a shell is fired with an initial velocity of 42.0
ID: 1327484 • Letter: E
Question
Exercise 3.16 On level ground a shell is fired with an initial velocity of 42.0 m/s at 53.0 degree above the horizontal and feels no appreciable air resistance. Part D How far from its firing point does the shell land? Express your answer using three significant figures. Part E At its highest point, find the horizontal and vertical components of its acceleration. Enter your answers numerically separated by a comma. Part F At its highest point, find the horizontal and vertical components of its velocity Enter your answers numerically separated by a comma.Explanation / Answer
given,
velocity = 42 m/s
angle = 53 degree
time rquired to reach heighest point = t
by first equation of motion
v = u + at
0 = 42 * sin(53) - 9.8 * t
t = 3.42 sec
horizontal distance = horizontal velocity * time of flight
horizontal distance = 42 * cos(53) * 3.42 * 2
horizontal distance = 172.89 m
at highest point
horizontal acceleration = 0 m/s^2
vertical acceleration = 9.8 m/s^2
horizontal velocity = 42 * cos(53)
horizontal velocity = 25.27 m/s
vertical velocity = 0 m/s
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