Sandy loves to ride her skateboard on her ramp. Sandy wonders how she could make her skateboard go faster. She thinks that the height of her ramp may play a role in the top speed reached by her skateboard. How should sandy set up her experiment to test her hypothesis? What would the independent variable be? What is the dependent variable?

Null hypothesis : top speed = height

Alternative hypothesis : top speed ≠ height

Dependent variable : speed

Independent variable : Height

Step-by-step explanation: The experiment aims to determine the relationship between the height of ramp and the top speed reached by her skateboard.

The Null hypothesis: top speed = height

while the alternative hypothesis will negate the Null.

Alternative hypothesis : top speed ≠ height

The dependent variable in the experiment will be her top speed, because it is the variable we want to evaluate. We want to determine if thwre will be a change in the top speed of the skateboard if there is change in another variable 'height' of ramp. The variable which might cause a change in value of our dependent variable is called the independent or predictor variable, which in this case is the height variable.

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this