A ball is thrown upward from the ground with an initial speed of 17.9 m/s; at the same instant, another ball is dropped from a building 11 m high. After how long will the balls be at the same height?

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter3: Motion Along A Straight Line
Section: Chapter Questions
Problem 113CP: The position of a particle moving along the x -axis varies with time according to x(t)=5.0t24.0t3 ....
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A ball is thrown upward from the ground with an initial speed of 17.9 m/s; at the same instant, another ball is dropped from a building 11 m high. After how long will the balls be at the same height?

We choose upward as the positive vertical direction. After the balls are released, they are both freely
objects with acceleration a = -g. During the time interval from the moment the two balls are release
the instant they are at the same height h above the ground, the ball thrown upward undergoes a
displacement
Ay1 = y - Yo = h 0.
%3D
Thus the displacement equation for constant acceleration Ay = vt +at gives the following equatio
1
m/s)t-
(1)
For this same tìme interval, the displacement of the dropped ball is
Ay2 = y - Yo = h -(
and Ay = vt +at? becomes
2.
m) = (0)t +
÷(-g)t2
%3D
or
(2)
Transcribed Image Text:We choose upward as the positive vertical direction. After the balls are released, they are both freely objects with acceleration a = -g. During the time interval from the moment the two balls are release the instant they are at the same height h above the ground, the ball thrown upward undergoes a displacement Ay1 = y - Yo = h 0. %3D Thus the displacement equation for constant acceleration Ay = vt +at gives the following equatio 1 m/s)t- (1) For this same tìme interval, the displacement of the dropped ball is Ay2 = y - Yo = h -( and Ay = vt +at? becomes 2. m) = (0)t + ÷(-g)t2 %3D or (2)
Expert Solution
Step 1

Given data:

Initial velocity of ball is v0=17.9 m/s.

 

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