A car travelling at 36km/h accelerate uniformly at 2m/s.find the velocity in km/h in 5 second time
V = Vo + at
watch the units
v = 36km/hr + (2m/s^2 * 5s) * 1km/1000m * 3600s/hr
= 36 + 2*5*3600/1000
= 36+36 = 72 km/hr
To find the velocity in km/h after 5 seconds, we need to calculate the final velocity (v) using the initial velocity (u) and the acceleration (a) over the given time (t).
Given:
Initial velocity (u) = 36 km/h
Acceleration (a) = 2 m/s²
Time (t) = 5 seconds
First, we need to convert the initial velocity from km/h to m/s. As 1 km/h is equal to 0.2778 m/s, the initial velocity in m/s is:
u = 36 km/h * 0.2778 m/s = 10 m/s
Next, we can use the formula for uniform acceleration:
v = u + a * t
Plugging in the values:
v = 10 m/s + 2 m/s² * 5 s
v = 10 m/s + 10 m/s
v = 20 m/s
Lastly, we can convert the final velocity from m/s back to km/h. As 1 m/s is equal to 3.6 km/h, the final velocity in km/h is:
v = 20 m/s * 3.6 km/h = 72 km/h
Therefore, the velocity of the car after 5 seconds is 72 km/h.
To find the velocity in km/h after 5 seconds, we will need to use the formula for uniformly accelerated motion:
v = u + at
Where:
v = final velocity
u = initial velocity
a = acceleration
t = time
First, we need to convert the given initial velocity from km/h to m/s. Note that 1 km/h is equal to 1000 m/3600 s.
Initial velocity in m/s = 36 km/h * (1000 m/3600 s)
= 10 m/s
The given acceleration is 2 m/s.
Now we can substitute the values into the formula:
v = 10 m/s + (2 m/s^2 * 5 s)
v = 10 m/s + 10 m/s
v = 20 m/s
Finally, let's convert the final velocity back to km/h:
Velocity in km/h = 20 m/s * (3600 s/1000 m)
= 72 km/h
Therefore, the velocity of the car after 5 seconds is 72 km/h.