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- --
- -Hints can be provided to students, based on the last response given, as well as the history of responses given. Here is an example of a hint produced by a Formula Response problem.
- --What is the equation of the line which passess through ($x1,$y1) and -($x2,$y2)?
- -The correct answer is $answer. A common error is to invert the equation for the slope. Enter -$wrongans to see a hint.
- --Two skiers are on frictionless black diamond ski slopes. -Hello
Use conservation of energy.
Use conservation of energy.
-Why do bicycles benefit from having larger wheels when going up a bump as shown in the picture?
-Assume that for both bicycles:
-1.) The tires have equal air pressure.
-2.) The bicycles never leave the contact with the bump.
-3.) The bicycles have the same mass. The bicycle tires (regardless of size) have the same mass.
-
The bicycles with larger wheels have more time to go over the bump. This decreases the magnitude of the force needed to lift the bicycle.
-The bicycles with larger wheels always have a smaller vertical displacement regardless of speed.
-The bicycles with larger wheels experience a force backward with less magnitude for the same amount of time.
-The bicycles with larger wheels experience a force backward with less magnitude for a greater amount of time.
-The bicycles with larger wheels have more kinetic energy turned into gravitational potential energy.
-The bicycles with larger wheels have more rotational kinetic energy, so the horizontal velocity of the biker changes less.
--A symbolic math response problem presents one or more symbolic math -input fields for input. Correctness of input is evaluated based on -the symbolic properties of the expression entered. The student enters -text, but sees a proper symbolic rendition of the entered formula, in -real time, next to the input box. -
- -This is a correct answer which may be entered below:
-cos(theta)*[[1,0],[0,1]] + i*sin(theta)*[[0,1],[1,0]]
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