On level ground a shell is fired with an initial velocity of 85.2 m/s at 59.1 ab

Question

On level ground a shell is fired with an initial velocity of 85.2 m/s at 59.1 above the horizontal and feels no appreciable air resistance

Part A

Find the horizontal and vertical components of the shell's initial velocity.

Enter your answers numerically separated by a comma.

Part B

How long does it take the shell to reach its highest point?

Express your answer using three significant figures.

Part C

Find its maximum height above the ground.

Express your answer using three significant figures.

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.

Explanation / Answer

A)

along horizantal

initial velocity vox = vo*costheta = 85.2*cos59.1 = 43.7 m/s

along vertical

initial velocity voy = vo*costheta = 85.2*sin59.1 = 73.1 m/s

43.7 , 73.1

(B)

at the highest point final vertial velocity v1y = 0

v1y = voy + ay*t

0 = 73.1 - 9.8*t

t = 7.45 s

(C)

from equations of motion

v1y^2 - voy^2 = 2*ay*dy

0-73.1^2 = 2*-9.8*H

H = 273 m

(D)

along vertical after falling on ground

total vertical displacement y = 0

y = voy*T + 0.5*ay*T^2

0 = 73.1*T - (0.5*9.8*T^2)

T = 14.9 s

along horizantal X = vox*T = 43.7*14.5 = 634 m

(E)

at the highest point

along horozantal ax = 0

along vertical ay = -g = -9.8 m/s^2

0 , 9.8 m/s^2

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