Question

A car is travelling along a circular curve that has a radius of 50 m. If its speed is 16 m/s and is increasing uniformly at $8m/s^2,$ determine the magnitude of its acceleration at this instant.

• A. $9.5m/s^2$
• B. $9.8m/s^2$
• C. $8.5m/s^2$
• D. $7.5m/s^2$

Answer 1

Answer: (A)

$9.5m/s^2$

$a=\sqrt{{a_t}^2+{a_n}^2}=\sqrt{{\left(\frac{dv}{dt}\right)}^2+{\left(\frac{v^2}{R}\right)}^2}=\sqrt{{\left(8\right)}^2+{\left(\frac{256}{50}\right)}^2}=9.5m/s^2$