WorksheetsKinematics with Calculus
Total questions: 20
Worksheet time: 20mins
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?
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
Vy=9.72 m/s
Vy=20.8 m/s
Vy=19.72 m/s
Vy=9.72 m/s
An airplane accelerates down a runway from rest at 3.20 m/s2 for 32.8 s until is finally lifts off the ground. Determine the distance traveled before takeoff.
Which equation is appropriate?
vf=vi+a*t
x=vi*t+1/2at2
vf2=vi2+2aX
x=((vf+vi)/2)t
A car is traveling to the right with a speed of 29m/s when the rider slams on the accelerator to pass another car. The car passes in 110 m with constant acceleration and reaches a speed of 34m/s. We want to find the acceleration of the car as it sped up. What equation should you choose?
vf=vi+at
x=vit+1/2at2
vf2=vi2+2aX
x=((vf+vi)/2)t
Rocket-powered sleds are used to test the human response to acceleration. If a rocket-powered sled is accelerated to a speed of 444 m/s in 1.83 seconds, then what is the distance that the sled travels?
Choose the appropriate equation.
vf=vi+at
x=vit+1/2at2
vf2=vi2+2aX
x=((vf+vi)/2)t
Kinematic equation can only be used when you have a constant ....
Position
Velocity
Acceleration
Time
The position of an object is given by the equation x = 3.0 t2 + 1.5 t + 4.5, where x is in meters and t is in seconds. What is the instantaneous acceleration of the object at t = 3.0 s?
3.0 m/s/s
6.0 m/s/s
9.0 m/s/s
19.5 m/s/s
36 m/s/s
