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1.
Show all your work for each part of the question. The parts within the question may not have equal weight.
A dart is launched horizontally from a platform at height . The dart hits the center of a target a horizontal
distance away from the initial launch point, as shown in Figure .
(a)
i. The dart lands on the target at time . On the following axes, a graph of the vertical velocitysketch
and the horizontal velocity of the dart as a function of time from the time the dart leaves the platform until
it hits the target. Take the upward direction as positive.
AP PHYSICS 1 Scoring Guide
Unit 1 Progress Check: FRQ
5/11/26, 2:07 AM
AP PHYSICS 1 Unit 1 Progress Check: FRQ Solutions and Scoring Guide
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ii. Starting with a kinematic relationship, an expression for the launch velocity needed for the dart toderive
hit the center of the target. Express your answer in terms of , , and physical constants, as appropriate.
(b) The height of the platform is then increased, but the target is not moved. whether the launch velocityIndicate
should be increased, decreased, or should remain constant for the dart to still hit the center of the target? Justify
your claim.
Part A
Select a point value to view scoring criteria, solutions, and/or examples and to score the response.
0 1 2 3 4 5 6 7
The response accurately includes the following criteriaall
1 point is earned for a graph of horizontal velocity as a function of time that is horizontal.
1 point is earned for a graph of vertical velocity with negative slope starting at the origin.
Example Response
Scoring Guide
Unit 1 Progress Check: FRQ
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AP PHYSICS 1 Unit 1 Progress Check: FRQ Solutions and Scoring Guide
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Scoring Note: A graph of either velocity as a function of time that is flipped over the horizontal axis will
also earn these points.
1 point is earned for a multi-step derivation starting with an appropriate kinematic equation relating
position and time.
OR
Scoring Note: Other kinematic equations can also be used to earn this point.
1 point is earned for appropriately separating values related to horizontal and vertical motion.
1 point is earned for of the following substitutions into a kinematic equationONE
◦ An initial vertical velocity of zero
◦ for the vertical acceleration of the dart
◦ for the initial height of the dart
◦ for the final height of the dart
1 point is earned for a correct expression for the time the dart takes to land.
1 point is earned for an expression for the horizontal speed of the dart required to hit the target consistent
with the time derived for the dart to land on the ground.
Example Response:
Scoring Guide
Unit 1 Progress Check: FRQ
5/11/26, 2:07 AM
AP PHYSICS 1 Unit 1 Progress Check: FRQ Solutions and Scoring Guide
https://getthispdf.com
3/16
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End of Document
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