Need help solving qu stone 1 and 2 A car travelling at a constant speed of 50.0
ID: 1521301 • Letter: N
Question
Need help solving qu stone 1 and 2 A car travelling at a constant speed of 50.0 m/s passes a hidden highway police trooper. One second after the car passes the trooper, the trooper pursues the speeder. If the trooper accelerates at a constant rate of 4.00 m/s^2, how long does it take the trooper to catch the speeding car? 2) A small hoy tosses a rock straight up into the air with an initial velocity of 10 m/s. It falls down and hits him on the head. How high does the rock go? What is the rocks velocity when it hits him on the head? (True Story) 3) A jet flies 20 km due North and then 35.0 km in a direction 60.0 degrees west of north. Find the magnitude and direction of the jet's resultant displacement.Explanation / Answer
1)
when the car and trooper meet in a time t
in this time the distance travelled by car is
s = 50 * t
when the trooper starts accelerating by this time the car is 50 m in advance
the trooper has to travel a distance 50 m more than car
so
S + 50 = 1/2 * a * t^2
(50 * t) + 50 = 1/2 * a * t^2
t = 25.96 s
2)
h = u^2 / 2* g
h = 100/(2*9.8)
h = 5.1 m
it reaches with the same velocity v = 10 m/s