Formula:
2 answers:
Acceleration is the rate of change of velocity
when velocity increases its acceleration
and when the velocity decreases its called decelaration
the formula to calculate acceleration is as follows
where
a - acceleration
v - final velocity
u - initial velocity
t - time taken
1. airplane starting at rest means initial velocity - 0 m/s
final velocity - 80 m/s
time - 20 s
substituting the values in the equation
a = (80 m/s - 0 m/s) / 20 s = 80 / 20 = 4 m/s²
the acceleration is 4 m/s² north
2. cyclist starts at rest so initial velocity - 0 m/s
time - 20 s
acceleration - 0.5 m/s²
substituting values in the equation
0.5 m/s² = (v - 0 m/s)/ 20 s
0.5 = v / 20 s
v = 0.5 x 20 = 10 m/s
final velocity is 10 m/s south
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Answer:
The final displacement from the origin is <u>1.6</u> km to the <u>NE</u>
Explanation:
The directions in which the delivery truck travels are;
1) 2.8 km North = 2.8·, in vector form
2) 1.0 km East = 1.0·, in vector form
3) 1.6 km South = -1.6·, in vector form
Therefore, to find the final displacement, Δx, of the delivery truck, we add the individual displacements as follows;
Final displacement, Δd = 2.8· + 1.0·
+(-1.6·
) = 1.2·
+ 1.0·
Final displacement, = 1.0· + 1.2·
Where;
Δx = The displacement in the x-direction = 1.0·
Δy = The displacement in the y-direction = 1.2·
The magnitude of the resultant displacement vector is given as follows
= √((Δx)² + (Δy)²) = √(1² + 1.2²) ≈ 1.6 (To the nearest tenth)
The magnitude of the resultant displacement vector ≈ 1.6 km
The direction of the resultant vector is positive for both the east and north direction, therefore, the direction of the resultant vector = NE
Therefore, the resultant displacement of the delivery truck is approximately 1.6 km, NE from the origin.