An object is moving along a straight road at the speed of 6 km/h.
a) How further away is the object every one hour?
b) How further away is the object every half ( ½) hr?
c) How further away is the object every 1/3 hr? Plot (draw) the s against
t graph for its motion
hint: speed = 6 km/hr = 6 km for every hour
Ujjg
To find how further away the object is every specified time interval, we need to determine the object's displacement for that time interval. Displacement, which represents the change in position, is given by the formula: Displacement = Speed × Time.
Given:
Speed = 6 km/h
a) To find how further away the object is every one hour:
Time = 1 hour
Displacement = Speed × Time
Displacement = 6 km/h × 1 hour
Displacement = 6 km
Therefore, the object is further away by 6 kilometers every one hour.
b) To find how further away the object is every half (½) hour:
Time = 0.5 hour
Displacement = Speed × Time
Displacement = 6 km/h × 0.5 hour
Displacement = 3 km
Therefore, the object is further away by 3 kilometers every half hour.
c) To find how further away the object is every 1/3 hour:
Time = 1/3 hour
Displacement = Speed × Time
Displacement = 6 km/h × 1/3 hour
Displacement = 2 km
Therefore, the object is further away by 2 kilometers every 1/3 hour.
To plot the position (s) against time (t) graph for its motion:
On the y-axis, mark the position (s) in kilometers, and on the x-axis, mark the time (t) in hours. Choose appropriate intervals based on the values we calculated.
For example, to plot the point for 1 hour, draw a dot at (1, 6) since the object is 6 kilometers away after 1 hour. Similarly, plot the points for half an hour at (0.5, 3) and for 1/3 hour at (1/3, 2).
Then, connect these dots with a straight line to represent the object's motion.