A particle's position is given by x = 2 - 11t + 2t2 (where t is...

 

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A particle's position is given by x = 2 - 11t + 2t2 (where t is in seconds and x is in meters). (a) What is its velocity at t = 1 s? (Indicate the direction with the sign of your answer.) -7 m/s (b) Is it moving in the positive or negative direction of x just then? positive negative O neither (c) What is its speed just then? 7 m/s (d) Is the speed increasing or decreasing just then? increasing decreasing neither (Try answering the next two questions without further calculation.) (e) Is there ever an instant when the velocity is zero? If so, give the time t; if not, enter NONE. 2.75 (f) Is there a time after t = 3.8 s when the particle is moving in the negative direction of x? If so, give the time t; if not, enter NONE. 890 x The velocity function is the time derivative of the position function. The sign of the velocity vector gives the direction of travel on the x axis. The particle stops when the velocity is zero. s A particle's position is given by x = 2 - 11t + 2t2 (where t is in seconds and x is in meters). (a) What is its velocity at t = 1 s? (Indicate the direction with the sign of your answer.) -7 m/s (b) Is it moving in the positive or negative direction of x just then? positive negative O neither (c) What is its speed just then? 7 m/s (d) Is the speed increasing or decreasing just then? increasing decreasing neither (Try answering the next two questions without further calculation.) (e) Is there ever an instant when the velocity is zero? If so, give the time t; if not, enter NONE. 2.75 (f) Is there a time after t = 3.8 s when the particle is moving in the negative direction of x? If so, give the time t; if not, enter NONE. 890 x The velocity function is the time derivative of the position function. The sign of the velocity vector gives the direction of travel on the x axis. The particle stops when the velocity is zero. s

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a To find the velocity of the particle at 1 second we need to differentiate the position function wi... View the full answer