A car is speeding up from a red light. At time t the distance in meters the car has traveled is given by x(t)=52x2−43x . Find the velocity,dxdt, and the acceleration ,dv/dt, when t is 5.  two decimal points if it is required   find velocity at time t in m/s find acceleration at time t in m/s2

q9 A car left skidded along a road for 160 m. Assuming that the car skidded to a stop with a constant acceleration of -6 m/s^2, determine the speed of the car in km/h (to one decimal place) before it began to skid.

A hammer has a speed of 8.0 m/s just before it strikes a 0.015 kg iron nail horizontally, using its 1.2 kg head. Assuming the nail absorbs all of the energy from the hammer, how much would the temperature of the nail rise if the hammer hit the nail 8 times in quick succession? Enter your answer in either K or °C. (Since it's a change in temperature, these units are identical.) J kg.K The heat capacity of iron is 450-

m Consider an object moving along a line with the given velocity v. Assume t is time measured in seconds and velocities have units of Complete parts a through c. S a. Determine when the motion is in the positive direction and when it is in the negative direction. b. Find the displacement over the given interval. c. Find the distance traveled over the given interval. v(t) = 3t² - 36t+105; [0,8] a. When is the motion in the positive direction? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. OA. For t-values that satisfy (Use a comma to separate answers as needed. Type your answers in interval notation.) B. The motion is never in the positive direction. b. Find the displacement over the given interval. c. Find the distance traveled over the given interval. v(t) = 3t² - 36t+105; [0,8]