David Sang and Graham Jones Solutions for Chapter: Kinematics: Describing Motion, Exercise 14: EXAM-STYLE QUESTIONS

A student drops a small black sphere alongside a vertical scale

A student drops a small black sphere alongside a vertical scale marked in centimetres. A number of flash photographs of the sphere are taken at $0.1 \sec .$intervals, The diagram is shown sideways-the first black dot is a $0 cm.$and the next at $4.0 \mathrm{cm}$

. The first photograph is taken with the sphere at the top at the time $t=0 sec.$.

 Determine the constant speed reached by the sphere.

 

A student drops a small black sphere alongside a vertical scale

A student drops a small black sphere alongside a vertical scale marked in centimetres. A number of flash photographs of the sphere are taken at $0.1 \mathrm{s}$intervals,The diagram is shown sideways-the first black dot is a $0 cm.$and the next at $4.0 \mathrm{cm}$.The first photograph is taken with the sphere at the top at the time $t=0 sec.$.

 Determine the distance that the sphere has fallen when $\mathrm{t}= 0.8 \mathrm{s}$
 

A student drops a small black sphere alongside a vertical scale

A student drops a small black sphere alongside a vertical scale marked in centimetres. A number of flash photographs of the sphere are taken at $0.1 \mathrm{s}$intervals,The diagram is shown sideways-the first black dot is a $0 cm.$and the next at $4.0 \mathrm{cm}$.The first photograph is taken with the sphere at the top at the time $t=0 sec.$.

In a real photograph, each image of the sphere appears slightly blurred, because each flash is not instantaneous and takes a time of $0.0010 \mathrm{s}$. Determine the absolute uncertainty that this gives in a position of the black sphere when it is travelling at a final constant speed.

 Suggest whether this should be observable on the diagram.
 

State one difference between a scalar quantity and a vector quantity and give an example of each.

A Plane has an airspeed of $500 \mathrm{kmph}$ due north. A Wind blows at $100 \mathrm{km}/\mathrm{h}$ from east to west. Draw a vector diagram to calculate the resultant velocity of the plan Give The direction of travel of the plane with respect to north.

A Plane has an airspeed of $500 \mathrm{kmph}$ due north. A Wind blows at $100 \mathrm{km}/\mathrm{h}$ from east to west. Draw a vector diagram to

The plane lies for $15 \min$. Calculate the displacement of the plane in this time.

A small aircraft for one is used for a short horizontal flight. On its journey from  $\mathrm{A} \mathrm{to} \mathrm{B}$, the resultant velocity is $15 {\mathrm{ms}}^{-1}$in a direction ${60}^{°}$ east of north and the wind velocity is $7.5 {\mathrm{ms}}^{-1}$due north. Show that for the aircraft to travel from $\mathrm{A} \mathrm{to} \mathrm{B}$ it should point due east.

A small aircraft for one is used for a short horizontal flight. On its journey from  $\mathrm{A} \mathrm{to} \mathrm{B}$, the resultant velocity is $15 {\mathrm{ms}}^{-1}$in a direction ${60}^{°}$ east of north and the wind velocity is $7.5 {\mathrm{ms}}^{-1}$due north.

After flying $5 \mathrm{km}$from $\mathrm{A} \mathrm{to} \mathrm{B}$, the aircraft return along the same path from $\mathrm{B} \mathrm{to} \mathrm{A}$ with a resultant velocity of $13.5 {\mathrm{ms}}^{-1}$ assuming that the time spent at $\mathrm{B}$ is negligible, calculate the average speed for the complete journey from $\mathrm{A} \mathrm{to} \mathrm{B}$ and back to $\mathrm{A}$.