First slide

Projection Under uniform Acceleration

Question

A body is moving in a circle with a speed of 1 ms^-1. This speed increases at a constant rate of 2 ms^-1 every second. Assume that the radius of the circle described is 25 m. The total acceleration of the body after 2 s is

Moderate

A

2 ms-2
B

25 ms-2
C

$\sqrt{5} {ms}^{- 2}$
D

$\sqrt{7} {ms}^{- 2}$

Solution

$a, = 2 {ms}^{- 2}, v = u + at = 1 + 2 \times 2 = 5 {ms}^{- 1} a_{c} = \frac{v^{2}}{r} = \frac{5^{2}}{25} = 1 {ms}^{- 2} Net acceleration = \sqrt{a_{c}^{2} + a_{t}^{2} = {\sqrt{1}}^{2} + 2^{2} = \sqrt{5} {ms}^{- 2}}$

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