Find the net change in velocity over [4, 6] of an object with the acceleration a(t) = 281-41² (in m/s²). (Use decimal notation. Give your answer to two decimal places.) net change in velocity:

The a- s graph for a boat moving along a straight path is given. (Figure 1) 1 of 1 Figure a (ft/s²) 5 a = 5 + 6(√5-10)5/3 100 s (ft) If the boat starts at s = 0 when v = 0, determine its speed when it is at s = 64 ft. Express your answer using three significant figures and include the appropriate units. μA ? V = Value Units Submit Request Answer Part B Use a numerical method to determine its speed at s = 136 ft. Express your answer using three significant figures and include the appropriate units. HA ? V = Value Units Submit Request Answer

For vectors B = −3î − 7ĵ and A = −5î − 3ĵ, calculate the following. (a) A + B (Express your answer in vector form.) A + B =_______ Enter the magnitude and direction (in degrees counterclockwise from the +x-axis) for A + B. magnitude ______ direction ______ ° counterclockwise from the +x-axis   (b) A − B (Express your answer in vector form.) A − B =________ Enter the magnitude and direction (in degrees counterclockwise from the +x-axis) for A − B. magnitude ________ direction _______° counterclockwise from the +x-axis   (The _______ are where I am supposed to submit answers)

A block of mass m is placed on a rough surface inclined relative to the horizontal. The incline angle is increased until the block start to move. Show that you can obtain the coefficient of static friction μs by measuring the critical angle θ where slipping occurs.