1. The problem statement, all variables and given/known data 1. A single force of 5N acts in the x direction on a 8kg object. (a) If the object starts from rest at x=0 at time t=-, find its velocity v as a function of time. (b) Write an expression for the power input as a function of time. (c) What is the power input of the force at time t=3s 2.A car manufacturer claims that his car can accelertate from frest to 100 km/h in 8s. The car's mass is 800kg. (a) Assuming that this performance is achieved at constant power, determine the power developed by the car's engine. (b) What is the car's speed after 4s (neglect friction and air resistance) 2. Relevant equations p=W/t 3. The attempt at a solution[/b 1. I could not even do part a of number 1. Can you guys help me ? 2. So since it's constant power P=W/t. W can be calculated by 1/2 mv^2 right ? How can I do part b ? Do I just use the P from previous calculation and multiply by time 4 s to get W. and set W=1/2 mv^2 ??