an object undergoes an acceleration of 10m/s2 starting from rest.
find the distance travelled by it in seconds
d = (1/2) a t^2
To find the distance traveled by an object, you need to calculate the area under the velocity-time graph. However, since we do not have the time interval, it is not possible to calculate the exact distance traveled.
However, assuming that the time interval is given, we can use the equations of motion to find the distance traveled.
The equation connecting acceleration (a), initial velocity (u), time (t), and distance (d) is:
d = ut + 0.5at^2
Given:
Acceleration (a) = 10 m/s^2
Initial velocity (u) = 0 m/s (as the object starts from rest)
Time (t) = the given time interval (in seconds)
Substituting these values into the equation, we get:
d = 0t + 0.5*10*t^2
Simplifying the equation:
d = 0 + 5t^2
or
d = 5t^2
So, if you provide the time interval (t), you can calculate the distance traveled (d) using the equation d = 5t^2.