Pablo and Jacob are running a half marathon. Jacob is d$=$42.3m

behind Pablo, and both are running at the same speed, v$0=$2.96m$/$s

At a particular moment, Jacob begins to accelerate forward at a constant rate of a$=$$\mathrm{0.048/}$s$2$

Part $($a$)$  Using the variables from the problem statement, write an expression for the time it takes Jacob to catch Pablo. 

 

Part $($b$)$: Using the variables from the problem statement, write an expression for the distance Jacob traveled as he was accelerating to catch Pablo.

 

 Part $($c$)$  Using the variables from the problem statement, write an expression for Jacob's speed at the time he catches up to Pablo. 

 

Part $($d$)$ What is the time, in seconds, it takes Jacob to catch Pablo?

Part $($e$)$ What is the distance, in meters, Jacob traveled as he was accelerating to catch Pablo?

Part $($f$)$ What is Jacobs speed, in meters per second, at the instant he catches up to Pablo?