Kinematics

1. Exercise

A car drives with the constant speed v=100 km/h on the highway. At the time t=0 the travelled distance is s=0.

a) How is the distance change DeltaS in the time period DeltaT calculated?

b) In the graph, first display the distance-time diagram and then the speed-time diagram.

c) c) How do the diagrams change when the starting value for s=500m?

2. Exercise

A car accelerates with the constant acceleration a=2.5 m/s².

At the time t=0 the distance travelled is s=0 and the speed is v=0.

a) How is the change in velocity DeltaV calculated in the time interval DeltaT?

b) We assume in this time interval DeltaT that the velocity is constant.

First calculate the new speed with a). Then how is the change in distance DeltaS calculated in this time interval?

c) In the graph, first display the distance-time diagram and then the speed-time diagram.

d) How do the diagrams change if the starting value is for s=100m, or for v=10 m/s?

3. Exercise

An apple falls from a branch and needs 0.8 s to reach the ground.

a) What is its speed on the ground?

b) How long does it take from half height to the ground (in the same experiment)?

4. Exercise

A car (m=1.2 t) accelerates with constant power P=100 kW from speed 1m/s to speed 30m/s.

a) Display and interpret the speed-time diagram and the acceleration-time diagram.

b) How long does the car need for the acceleration process?

c) What is the average acceleration?