What is the instantaneous speed in m/s at the 10 s mark for a car that accelerates at 3 m/s(squared) from a position of rest?
To determine the instantaneous speed at the 10 s mark for a car that accelerates at 3 m/s² from a position of rest, we can use the formula for accelerating motion. The formula is:
v = u + at
Where:
v = final velocity or speed
u = initial velocity (in this case, since the car starts from rest, the initial velocity is 0)
a = acceleration
t = time
Given that the acceleration (a) is 3 m/s² and the time (t) is 10 s, we can substitute these values into the formula:
v = 0 + 3 * 10
Calculating further:
v = 0 + 30
Therefore, the instantaneous speed at the 10 s mark for the car is 30 m/s.
It's important to note that this calculation assumes that the car's acceleration is constant over the entire 10-second time interval. If the acceleration were to change during this time, the calculation would be different.