Physical sciences
A car is stationary at first. It moves off with an acceleration of 2 m.s power -2. Calculate how fast it will be moving after 10 seconds.
acceleration of 2m/s^2 means that the velocity increases by 2m/s every second.
So, clearly, since v = at,
v = (2m/s^2)(10s) = 20m/s
Keep track of the units! They will give clues as to the required calculations.
To calculate the final velocity of the car, we can use the equation of motion:
v = u + at
Where:
v = final velocity (what we want to find)
u = initial velocity (which is 0 since the car starts from rest)
a = acceleration (given as 2 m.s power -2)
t = time (given as 10 seconds)
Substituting the values into the equation, we get:
v = 0 + (2 m.s power -2) * 10 seconds
Now, let's simplify the equation:
v = 0 + 2 * 10 m.s power -2
v = 0 + 20 m.s power -2
Finally, let's convert the unit of velocity to a more common form:
v = 20 m.s power -2
Therefore, the car will be moving at a velocity of 20 m/s after 10 seconds.