A car moves in a straight line at a speed of 59.0 km/h.
(a) How far will the car move in 3.00 minutes at this speed?
(b) How long will it take the car to move 0.33 km at this speed?
To answer these questions, we need to use the formula:
Distance = Speed × Time
Let's start with the first question:
(a) How far will the car move in 3.00 minutes at this speed?
First, we need to convert the speed from km/h to m/s.
1 km/h = (1000 m) / (3600 s) = 0.2778 m/s
So, the speed of the car in m/s is: 59.0 km/h × 0.2778 m/s = 16.3896 m/s
Now, we can calculate the distance using the formula:
Distance = Speed × Time
Given that the time is 3.00 minutes, we need to convert it to seconds.
1 minute = 60 seconds
Therefore, 3.00 minutes = 3.00 × 60 seconds = 180 seconds
Substituting the values into the formula:
Distance = 16.3896 m/s × 180 seconds = 2949.728 meters
So, the car will move 2949.728 meters in 3.00 minutes at this speed.
(b) How long will it take the car to move 0.33 km at this speed?
First, let's convert the distance from km to meters.
1 km = 1000 m
Therefore, 0.33 km = 0.33 × 1000 = 330 meters
Now, we can rearrange the formula Distance = Speed × Time to find the time:
Time = Distance / Speed
Substituting the values into the formula:
Time = 330 meters / 16.3896 m/s = 20.117 seconds
So, it will take the car approximately 20.117 seconds to move 0.33 km at this speed.
a)56
b)33