Displacement and Velocity
Maria starts a nature walk at a marker that reads 150 meters. She continues walking along the trail until she reaches a viewpoint at the 390-meter marker.
Question:
What is Maria’s displacement from her starting point to the viewpoint?
240 m
A car is at a stoplight and starts from rest, after 8 seconds, it reaches a speed of 24 m/s.
Question:
What is the car’s acceleration?
3 m/s
A skateboarder moves at a constant speed of 5 m/s along a straight path. How far will the skateboarder travel in 12 seconds?
60 m
A race car moves at a speed of 30 m/s around a circular track with a radius of 150 m.
Question:
What is the car’s centripetal acceleration as it moves around the curve?
6 m/s2
A soccer ball with a mass of 0.5 kg is kicked and reaches a speed of 20 m/s.
Question:
What is the momentum of the soccer ball immediately after it is kicked?
10 Kg m/s
A car is traveling on a straight highway. It begins at mile marker 42 and continues straight until it stops at mile marker 73.
Question:
What is the car’s displacement during this part of the trip?
31 miles
A cyclist is moving at 15 m/s and applies the brakes. After 5 seconds, the cyclist slows down to 5 m/s.
Question:
What is the cyclist’s acceleration (or deceleration)?
-2 m/s
A ball is dropped from the top of a building. How far does it fall after 4 seconds?
78.4 m
A satellite orbits Earth in a circular path with a radius of 7,000 km at a speed of 7,500 m/s.
Question:
What is the centripetal acceleration of the satellite in its orbit?
8.04 m/s2
A person has a mass of 70 kg.
Question:
What is the person’s weight on Earth?
686 N
Evan is jogging on a straight path. At 2 minutes, he is 120 meters from the starting point. At 6 minutes, he is 360 meters from the starting point.
Question:
What is Evan’s average velocity during this time?
1 m/sec
A car is moving at 10 m/s. It accelerates at a rate of 2 m/s² for 6 seconds.
Question:
What is the car’s final velocity after 6 seconds?
22 m/s
A car travels at a steady speed of 25 m/s on a straight highway. How far does the car travel in 10 minutes?
15,000m or 15 km
A grocery cart has a mass of 25 kg. A person pushes it and causes it to accelerate at 2 m/s².
Question:
What is the force the person applies to the cart?
50 N
A spring has a spring constant of 200 N/m. A force is applied to stretch the spring 0.15 m.
Question:
What is the force required to stretch the spring this amount?
30 N
A train moves along a straight track. At t = 10 seconds, it is at 150 meters. At t = 22 seconds, it is at 426 meters.
Question:
What is the train’s average velocity between 10 and 22 seconds?
23 m/sec
A rocket starts from rest and accelerates upward at 15 m/s² for 12 seconds.
Question:
What is the rocket’s velocity at the end of 12 seconds?
180 m/s
A student throws a ball straight up with an initial velocity of 15 m/s. How high does the ball rise after 2 seconds?
10.4 m
A car of mass 1,200 kg accelerates from rest at a rate of 3 m/s².
Question:
What is the net force acting on the car?
3600 N
A box with a mass of 10 kg is sliding across a horizontal floor. The coefficient of kinetic friction between the box and the floor is 0.25.
Question:
What is the force of kinetic friction acting on the box?
24.5 N
A bicyclist starts at a park entrance at position 0 meters. After riding for 5 minutes, she reaches a picnic area at 450 meters. Then she continues for another 10 minutes until she reaches a hilltop at 900 meters.
Questions:
What is her displacement from the park entrance to the picnic area?
What is her average velocity from the park entrance to the picnic area?
What is her displacement from the picnic area to the hilltop?
What is her average velocity from the picnic area to the hilltop?
1- 450 - 0 = 450m
2- 1.5 m/sec 450/300
3- 900-450= 450m
4- .75m/s 450/600
A motorcycle starts from rest at a traffic light and accelerates uniformly at 3 m/s².
How far does the motorcycle travel in 8 seconds?
If the motorcycle then continues to accelerate at the same rate for another 4 seconds, what is the total displacement from the starting point after 12 seconds?
1- 96 m
2- 216 m
A toy rocket is launched horizontally from the edge of a cliff 50 meters high with an initial horizontal velocity of 12 m/s. Assume there is no air resistance and the acceleration due to gravity is 9.8 m/s².
Questions:
How long does it take for the rocket to hit the ground?
How far from the base of the cliff does the rocket land?
What is the rocket’s vertical velocity just before it hits the ground?
1- 3.19s
2-38.3m
3- 31.2 m/s
A circular amusement park ride has a radius of 6 meters. The ride spins such that the passengers move in a horizontal circle. A safety engineer wants the centripetal acceleration of the passengers to be no more than 12 m/s² for safety reasons.
Questions:
What is the maximum speed the passengers can safely travel around the circle?
If the ride spins at this maximum speed, what force would a 70 kg passenger feel toward the center of the ride?
1- 8.49 m/s
2- 840 N
A motorcyclist with a mass of 80 kg rides around a circular track of radius 20 m at a speed of 10 m/s.
Question:
What is the centripetal force acting on the motorcyclist as they go around the track?
400 N