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4. 2D Kinematics

2D Acceleration Functions with Calculus

4. 2D Kinematics

2D Acceleration Functions with Calculus

Multiple Choice
An iceboat on a frozen lake has acceleration $a (t) = 2 t \hat{ı}+(1 - \frac{4}{t^{3}})\hat{ȷ}$ . At $t equals 4 s$ , the iceboat's velocity is $v = 8 \hat{ı}+4.125 \hat{ȷ}$ . What is the iceboat's displacement between $t equals 2 s$ and $t equals 10 s$ ?
Multiple Choice
A toy airplane is flying in an $x/y$ plane parallel to the ground with a velocity $v (t) = (4 t - 0.015 t^{3}) \hat{ı} + (1.8 + 0.5 t) \hat{ȷ}$ . What is the magnitude of the airplane's acceleration at $t equals 30 s$ ?