A bowling ball is dropped from a boat so that it strikes the surface of a lake with a speed of 15 ft/s. Assuming the ball experiences a downward acceleration of a =10 - 0.01v when in the water, determine the velocity of the ball when it strikes the bottom of the lake.

A bowling ball is dropped from a boat so that it strikes the surface of a lake with a speed of 15 ft/s. Assuming the ball experiences a downward acceleration of a =10 - 0.01v when in the water, determine the velocity of the ball when it strikes the bottom of the lake.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

Vector Mechanics for Engineers: Dynamics
Group Problem Solving
A bowling ball is dropped from a boat so that it
strikes the surface of a lake with a speed of 15 ft/'s.
Assuming the ball experiences a downward
acceleration of a =10 - 0.01v when in the water,
determine the velocity of the ball when it strikes the
bottom of the lake.
+y
Which integral should you choose?
(a) jcv=fa(t)dt
vdv = [a(x)dx
(c)
%3D
%D
Vo
vdv
dv
(b) ƒdx=j°
dt
a(v)
(d)
a(v)
Vo
2- 20

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