At tequals0, a train approaching a station begins decelerating from a speed of 140 mi/hr according to the acceleration function a(t)equalsnegative 1120 left parenthesis 1 plus 4 t right parenthesis superscript negative 3 mi/hrsquared, where tgreater than or equals0. how far does the train travel between tequals0 and tequals0.1? between tequals0.1 and tequals0.3?

Aprojectile is launched from ground level with an initial velocity of v 0 feet per second. neglecting air resistance, its height in feet t seconds after launch is given by s equals negative 16 t squared plus v 0 t. find the time(s) that the projectile will (a) reach a height of 192 ft and (b) return to the ground when v 0equals112 feet per second. (a) find the time(s) that the projectile will reach a height of 192 ft when v 0equals112 feet per second. select the correct choice below and, if necessary, fill in the answer box to complete your choice.

Asystem containing an ideal gas at a constant pressure of 1.22×10^5 pa gains 2140 j of heat. during the process, the internal energy of the system increases by 2320 j. what is the change in volume of the gas?

Find v(t), given acceleration a(t)=7j and initial velocity v(0)=k