Find the total displacement of a body in 8seconds starting from rest with an acceleration of 2cm/sec2
d = 0.5a*t^2 = 0.5*0.02*8*2 = 0.64 m.
To find the total displacement of a body, we need to know the initial velocity, the acceleration, and the time taken. In this case, the initial velocity is given as zero because the body starts from rest. The acceleration is given as 2 cm/sec², and the time taken is 8 seconds.
The equation that relates displacement, initial velocity, acceleration, and time is:
displacement = (initial velocity * time) + (0.5 * acceleration * time²)
Since the initial velocity is zero, the equation simplifies to:
displacement = 0.5 * acceleration * time²
Now, let's substitute the values into the equation:
displacement = 0.5 * 2 cm/sec² * (8 seconds)²
First, calculate the square of the time:
displacement = 0.5 * 2 cm/sec² * 64 seconds²
Next, multiply the acceleration by the square of the time:
displacement = 64 cm²/sec²
Therefore, the total displacement of the body in 8 seconds starting from rest with an acceleration of 2 cm/sec² is 64 cm²/sec².