Question

# At t = 3 s, a certain particle has a speed of 12 m/s and is...

At t = 3 s, a certain particle has a speed of 12 m/s and is moving at an angle of 30∘ above the +x axis. At t = 6 s the same particle is moving at 5 m/s straight down at angle of 90∘ below the +x axis. Calculate the magnitude of its average acceleration.

SOLUTION:

Resolving the initial velocity into two vectors, we get a vector along positive x- axis and one vector along positive y- axis.

Hence, Initial velocity is given by:

Similarly, final velocity is along negative y-axis.

Therefore, acceleration is given by:

Therefore, Magnitude of average acceleration is given by:

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