Kinematics with Calculus

Motion sensors recorded the following data about a runner during a cross-country race. During which segment of the race did the runner have the greatest speed?

• W
• X
• Y
• Z

What is the acceleration of an object moving at constant velocity?

• 2 m/s²

• 1 m/s²

• 0 m/s²

• 0.8 m/s²

The graph shows the position of a truck vs. time. According to the graph, the velocity of the truck is...

• increasing

• remaining constant

• decreasing

A feather is dropped on the moon from a height of 1.40 meters. The acceleration of gravity on the moon is 1.67 m/s². Determine the time for the feather to fall to the surface of the moon.

Which equation should you use to solve the above problem?

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A toy car is given an initial velocity of 5m/s and experiences a constant acceleration of 2 m/s² for 6 seconds. What is the final velocity of the car?

• 10 m/s

• 12 m/s

• 16 m/s

• 17 m/s

You toss a ball straight upward, in the positive direction. The ball falls freely under the influence of gravity.

At the highest point in the ball’s motion,

• its velocity is zero and its acceleration is zero.

• its velocity is zero and its acceleration is positive (upward).

• its velocity is zero and its acceleration is negative (downward).

• its velocity is positive (upward) and its acceleration is zero.

• its velocity is positive (upward) and its acceleration is zero.

The scalar product of u and v is zero, therefore...

• vectors u and v are parallel

• vectors u and v are perpendicular

• vectors u and v are equal

• vectors u and v are multiples

If vector A has an x component of 12 units and a y component of 7 units, what is the magnitude of vector A?

• 19 units

• 13 units

• 14 units

• 193 units

What is the vertical acceleration of a projectile?

• 0 m/s²
• -9.81 m/s²

Beau throws a baseball at 23.0 m/s at an angle of 25.0 degrees relative to the ground.If the ball was caught 42.0 m from Beau, find the components

• Vx=20.8 m/s
  Vy=9.72 m/s
• Vx=9.72 m/s
  Vy=20.8 m/s
• Vx=20.8 m/s
  Vy=19.72 m/s
• Vx=19.8 m/s
  Vy=9.72 m/s