Mathematical Equivalence

ON

Tags

NGSS.HS-PS2-1

Match the correct term to the variable or value.

• change of x

• velocity on the y axis

• velocity on the x axis

• acceleration due to gravity

• 9.81 m/s

• v_x

• v_y

• Δx

• v naught or initial velocity

• v₀

Tags

NGSS.HS-PS2-1

Two students want to determine the speed at which a ball is released when thrown vertically upward into the air. One student throws the ball into the air while the other student measures the total time that the ball is in the air. The students use a meterstick to measure the release height of the ball. Which of the following equations should the students use to determine the speed at which the ball was released?

• Use y = y₀ + v_y0t + 1/2a_yt² from the moment in time in which the ball was released to the moment in time in which the ball reaches its highest point.

• Use y = y₀ + v_y0t + \1/2a_yt² from the moment in time in which the ball was released to the moment in time in which the ball hits the ground.

• Use v²_y = v²_y0 + 2a_y (y - y₀) from the moment in time in which the ball was released to the moment in time in which the ball reaches its highest point.

• Use v²_y = v²_y0 + 2a_y (y - y₀) from the moment in time in which the ball was released to the moment in time in which the ball hits the ground.

An object undergoes an acceleration as it travels along a straight, horizontal section of a track. Which of the following graphs could represent the motion of the object?

Select two answers.

• 
• 
• 
• 

Tags

NGSS.HS-PS2-1

A car initially at rest accelerates at 10 m/s² . The car’s speed after it has traveled 25 meters is most nearly

Mathematical Equivalence

ON

Tags

NGSS.HS-PS2-1

A student wants to study the motion of an object with constant acceleration. Which of the following experiments could the student conduct to best observe a situation where an object has constant acceleration? Select two answers.

• Release a ball from rest near the Earth's surface.

• Release a toy car from rest so that it travels along different looped sections of a track.

• Launch a water-propelled rocket from rest so that it travels into the air and falls back to the Earth's surface.

• Release a cart from rest so that it travels down an incline of 40 degrees with respect to the ground.

Tags

NGSS.HS-PS2-1

Which of the following is NOT indicated by a horizontal line on a velocity vs. time graph?

• The object is at rest.

• The object is speeding up.

• The object is moving at a constant high speed.

• The object is moving at a constant low speed.

At what angle should a projectile be launched to achieve the maximum horizontal range?

• 0 degrees

• 20 degrees

• 45 degrees

• 90 degrees

If acceleration and velocity vectors are in the same direction, the object is...

• Slowing down

• No change

• Speeding up

• Stopped

Tags

NGSS.HS-PS2-1

Which of the following is NOT a scalar quantity?

• Mass

• Acceleration

• Speed

• Distance