A lorry is travelling at 60 km/hr when the brakes are applied. Assuming that the deceleration is uniformly at 2m/hr, how far has the lorry travelled when its speed is 36km/hr after 6seconds.
To find the distance traveled by the lorry, we can use the formula for uniform acceleration:
distance = (initial velocity * time) + (1/2 * acceleration * time^2)
First, let's convert the initial velocity of the lorry from km/hr to m/s:
60 km/hr = (60*1000) m/3600 s = 16.67 m/s
Next, let's convert the speed of the lorry after 6 seconds from km/hr to m/s:
36 km/hr = (36*1000) m/3600 s = 10 m/s
The acceleration is given as 2 m/s².
The time is given as 6 seconds.
Plugging these values into the formula, we get:
distance = (16.67 m/s * 6 s) + (1/2 * 2 m/s² * (6 s)^2)
Calculating this expression will give us the distance traveled by the lorry.