In: Math
(4) A bicycle travels along a straight road. Let p (t) = The position of the bicycle (in feet) at time t(in seconds) v (t) = The velocity of the bicycle (in feet/sec) at time t (in seconds) a (t) = The acceleration of the bicycle (in feet/sec2 ) at time t (in seconds) ( some of these questions require you to write an integral, some don’t; only use an integral to answer a questions if you need to) (a) Using v (t) (and no other variables) write an expression representing the average velocity of the bicycle from t = 20 seconds to t = 50 seconds. Include units in your answer. (b) Using v (t) (and no other variables) write an expression representing the displacement of the bicycle from t = 20 seconds to t = 50 seconds. Include units in your answer. (c) Using v (t) (and no other variables) write an expression representing the average acceleration of the bicycle from t = 20 seconds to t = 50 seconds. Include units in your answer. (d) Using p (t) (and no other variables) write an expression representing the average velocity of the bicycle from t = 20 seconds to t = 50 seconds. Include units in your answer. (e) Using a (t) (and no other variables) write an expression representing the average acceleration of the bicycle from t = 20 seconds to t = 50 seconds. Include units in your answer. (f) Using p (t) (and no other variables) write an expression representing the displacement of the bicycle from t = 20 seconds to t = 50 seconds. Include units in your answer. With clear steps please