Question

A car is moving with a speed of 10 ms-1 on a circular track of radius 25 m. If its speed is
increasing at the rate of 3 ms-1, its resultant acceleration is
(a) 2.5 ms-1
(b) 5 ms -1
(c) 7.5 ms -1
(d) 10 ms-1​

Answer 1

Answer:

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Explanation:

Tangential acceleration:at  

=3m/s    

Centripetal acceleration:ar

=  v^2/r

=100/25=4  

∴ Net acceleration  =√3^2+4^2

=5 ms^-1

Answer 2

Answer:

$5 \: m \: per \: {s}^{ - 2}$

Explanation:

$centripetal \: acceleration = {v}^{2} \div r \\ 10 \times 10 \div 25 = 4 {m}^{ - 2} \\ tengential \: acc = 3 {m}^{ - 2} \\ centipetal \: and \: tengential \: acc \: are \: perpendicular \: to \: each \: other \\ so \: resulant = \sqrt{{4}^{2} + {3}^{2} } = 5 m{s}^{ -2}$