Answer:
t=2.14s
Explanation:
Since it asks us for the time it takes from the moment it starts accelerating, the first 5 seconds of movement mentioned is irrelevant here.
Next it'd be simple just to use the kinematic equation involving distance, time, and velocity:
∆d=V₀t+at²/2
From here we can move the change in distance over and use the quadratic formula to solve for time.
My work is in the attachment. Comment with any questions.
Answer:
Acceleration= 1,59 (meters/(second^2))
Direction= NE; 65,22° above the east direction.
Explanation:
Resulting force= ( ((180N)^2) + ((390N)^2) ) ^ (1/2) = 429,53 N
Angle obove the east direction= ((cos) ^ (-1)) (180N / 429,53 N) = 65,22°
Acceleration= Resulting force / mass = (429,53 N) / (270 kg) =
= (429,53 kg × (meters/(second^2))) / (270kg) = 1,59 (meters/(second^2))
Answer is: 1973.17N aprox.
step by step in the pic below