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A car and a truck, starting from rest, have the same acceleration, but the truck moves twice the length of time. Compared with the car, the truck will travel

Respuesta :

Compared with the car, the truck will travel four times as far.

The initial velocity of car and truck, u = 0

The acceleration of both the truck and car = a

The length of time for the acceleration = t

Let the time the truck accelerated be 2t

How to calculate the distance traveled by car and truck?

The distance traveled by car is calculated as;

s = ut + ¹/₂at²

s₁ = 0(t) + ¹/₂at²

s₁ = ¹/₂at²

The distance traveled by truck

s = ut + ¹/₂at²

s₂ = 0(2t) + ¹/₂a (2t)²

s₂ =  ¹/₂a x 4t²

s₂ = 4 (¹/₂at²)

s₂ = 4(s₁)

We can conclude that the Truck distance is four times the car distance.

Therefore, Compared with the car, the truck will travel four times as far.

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