1-D Motion
Derivatives/Integrals
Vector Mathematics
2-D Motion
100

The average acceleration of a particle when it had speed of the 18 m/s in the positive direction and a speed of 30 m/s in the opposite direction, 2.4 seconds later.

What is -20 m/s^2?

100

Derivative of y=16x^-4

What is y'=-64x^-5?
100

The resultant vector of vector A[-3 4] and vector B[4 6].

What is vector C[1,10]?

100

The magnitude of acceleration of a sprinter running at 10 m/s when rounding a turn of radius 25-m.

What is 4 m/s^2?

200

The velocity of an object 2.5 seconds earlier when the object has a constant acceleration of +3.2m/s^2 and at a instant, had a velocity of +9.6 m/s.

What is 1.6 m/s?

200

Derivative of y=(2t^4)-(10t^2)+(13t).

What is y'=(8t^3)-(20t)+13

200

The magnitude and angle of vector A when it has an x-component of -25.0-m and y-component of 40.0-m.

What is 47.2-m and 122 degrees?

200

The maximum height of a baseball when it is hit from the ground level and reaches max height 3.0-seconds after being hit.

What is 44.1-m?

300

The initial speed of an object as it leaps up to 0.544-m in the first 0.200-s.

What is 3.7 m/s?

300

Integral of f'(x)=((18x^2)-9)

What is f(x)=((6x^3)-9x+C)?
300

The magnitude and angle of Vector B when Vector A has a magnitude of 12-m at 40-degrees counterclockwise from the positive x-direction and Vector C has a magnitude of 15-m at 20-degrees counterclockwise from the negative x-direction.

What is 26.58-m and 208.8-degrees?

300

The time it takes for a projectile launched horizontally, embedded 1.9-cm below the actual target.

What is t=(6.226X10^-2 seconds)

400

The time it takes for a stone to reach the ground when it is thrown at an initial speed of 12 m/s, 30.0-m above the ground.

What is t=1.54 seconds?

400

Derivative of z=x((3x^2)-9).

What is z=((9x^2)-9)?

400

The distance and direction traveled to reach 5.6-km due north from 7.8-km at 70 degrees north of east.

What is 5.03-m at 4.33-degrees south of west?

400

A projectile's launch speed is five times its speed at maximum speed. Find the launch angle.

What is 78.5 degrees?

500

The time and height of an object in the last 1.00-s when it falls 0.50h.

What is t=3.4 seconds and h=57.1 meters?

500

Integral of v(t)=(12t^3)+(-120t^2)+(252t)

What is x(t)=(3t^4)+(-40t^3)+(126t^2)?

500

The vector notation for the sum of the following vectors: Vector A[2.00 3.00], Vector B with 4.00-m at +65-degrees, Vector C[-4.00 -6.00], and Vector D with 5.00-m at -235-degrees.

What is Vector E[-3.18 4.73]?

500

The initial velocity of an object launched from a height of 6.4km at angle of 45-degrees, where the object landed 959-m away.

What is 35 m/s?

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