An object accelerates from 10m/s to 16m/s in 10 secs. What will be the object’s velocity after 1 minute?
v₁=v₀+at₁
a= (v₁-v₀)/t₁ = (16-10)/10 = 0.6 m/s²
v₂=v₀+at₂ = 10+0.6•60 = 46 m/s
Or it may be 60 s after the first 10 s
v₃ = v₀+a(t₁+t₂) = 10+0.6•(10+60)=52 m/s
To find the object's velocity after 1 minute, we need to determine the rate at which the object accelerates and use it to calculate its final velocity.
Given that the object accelerates from 10 m/s to 16 m/s in 10 seconds, we can calculate the acceleration using the formula:
acceleration = (final velocity - initial velocity) / time
Plugging in the values, we get:
acceleration = (16 m/s - 10 m/s) / 10 s
acceleration = 6 m/s / 10 s
acceleration = 0.6 m/s²
Now that we know the acceleration, we can use it to find the final velocity after 1 minute (60 seconds). The formula to calculate the final velocity (v) given the initial velocity (u), acceleration (a), and time (t) is:
v = u + (a * t)
Plugging in the values, we get:
u = 10 m/s (initial velocity)
a = 0.6 m/s² (acceleration)
t = 60 s (time)
v = 10 m/s + (0.6 m/s² * 60 s)
v = 10 m/s + 36 m/s
v = 46 m/s
Therefore, the object's velocity after 1 minute will be 46 m/s.