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Zorluk: KolaySpeed, Velocity, and Acceleration

Arrange the following vehicle scenarios in order from the lowest acceleration to the highest acceleration.

  1. 1A forklift maintaining a constant speed of 5 m/s5 \text{ m/s} down a straight warehouse aisle.
  2. 2A motorized cart accelerating from rest to 6 m/s6 \text{ m/s} in 3 seconds3 \text{ seconds}.
  3. 3A delivery van increasing its speed from 10 m/s10 \text{ m/s} to 22 m/s22 \text{ m/s} over 3 seconds3 \text{ seconds}.
  4. 4A sports car accelerating from rest to 15 m/s15 \text{ m/s} in 3 seconds3 \text{ seconds}.

Cevap

The correct sequence from lowest to highest acceleration is: the forklift (0 m/s20 \text{ m/s}^2), the motorized cart (2 m/s22 \text{ m/s}^2), the delivery van (4 m/s24 \text{ m/s}^2), and the sports car (5 m/s25 \text{ m/s}^2).
By applying the acceleration formula a=Δvta = \frac{\Delta v}{t} to each scenario, we find the respective accelerations are 0 m/s20 \text{ m/s}^2, 2 m/s22 \text{ m/s}^2, 4 m/s24 \text{ m/s}^2, and 5 m/s25 \text{ m/s}^2. Placing them in ascending numeric order yields the correct sequence.

Adım Adım Çözüm

1
Calculate the acceleration of the forklift.
a=0 m/s2a = 0 \text{ m/s}^2
Because the forklift maintains a constant speed in a straight line, its velocity does not change.
2
Calculate the acceleration of the motorized cart.
a=2 m/s2a = 2 \text{ m/s}^2
Using the formula a=vf−vita = \frac{v_f - v_i}{t}, we get 6−03=2\frac{6 - 0}{3} = 2.
3
Calculate the acceleration of the delivery van.
a=4 m/s2a = 4 \text{ m/s}^2
Using the formula a=vf−vita = \frac{v_f - v_i}{t}, we get 22−103=4\frac{22 - 10}{3} = 4.
4
Calculate the acceleration of the sports car.
a=5 m/s2a = 5 \text{ m/s}^2
Using the formula a=vf−vita = \frac{v_f - v_i}{t}, we get 15−03=5\frac{15 - 0}{3} = 5.

Anahtar Kavram

Acceleration is the rate at which an object changes its velocity, calculated by dividing the change in velocity by the elapsed time.
Tahmini Süre:1m 0s
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