Suppose the departure angle in Figure 3.26 in the textbook is ?0 = 42.3 ? and the distance is d = 2.90 m . A) Where will the dart and monkey meet if the initial speed of the dart is 12.0 m/s ? B) Where will the dart and monkey meet if the initial speed of the dart is 7.5 m/s ? C) What will happen if the initial speed of the dart is 4.00 m/s? (Response question)
for dart
dart speed components.
horizontal component
vertical component
vertical position for the dart
where:
Initial position
initial vertical velocity
acceleration of gravity
Evaluating the equation
horizontal movement equation
where:
initial horizontal position
initial horizontal velocity
finally
for the time it takes for the dart to reach the monkey is
For Monkey
vertical position for the monkey
where:
Initial position
initial vertical velocity
acceleration of gravity
Evaluating the equation
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A) Where will the dart and monkey meet if the initial speed of the dart is 12.0 m/s ?
the time are calculated
position Monkey and dart
They meet at the point and
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B) Where will the dart and monkey meet if the initial speed of the dart is 7.5 m/s ?
the time are calculated
position Monkey and dart
They meet at the point and
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C) What will happen if the initial speed of the dart is 4.00 m/s?
the time are calculated
position Monkey and dart
The results indicate that in this case does not meet,
the vertical position is calculated using both equations to check
Suppose the departure angle in Figure 3.26 in the textbook is ?0 = 42.3 ? and...
Suppose the departure angle in Figure 3.26 in the textbook is α0 = 41.0 ∘ and the distance is d = 2.90 m . a) Where will the dart and monkey meet if the initial speed of the dart is 12.4 m/s? b) Where will the dart and monkey meet if the initial speed of the dart is 8.6 m/s? c) What will happen if the initial speed of the dart is 4.0 m/s? Dashed arrows show how far the...
3 Motion in Two or Three Dimensions Dashed arrows show how far the dart and monkey have fallen at specific times relative to where they would be without gravity At any time, they have fallen by the same amount. ilizer dart hits the falling monkey Without gravity The monkey remains in its initial position The dart travels straight to the monkey Therefore, the dart hits the monkey Monkey's fall Dart's Trajectory of dart without gravity d tan o fall Dart's...
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