A car and a truck, starting from rest, have the same acceleration, but the truck accelerates for twice the length of time. Compared with the car, the truck will travel:. a. twice as far.
b. one-half as far.
c. three times as far.
d. four times as far.
e. 1.4 times as far.

d. four times as far

Explanation:

Initial velocity of car and truck, u = 0

let acceleration of both the truck and car = a

let the length of time for the acceleration = t

Let the time the truck accelerated = 2t

The distance traveled by the car is calculated as;

s = ut + ¹/₂at²

s₁ = 0(t) + ¹/₂at²

s₁ = ¹/₂at²

The distance traveled by the truck is calculated as;

s = ut + ¹/₂at²

s₂ = 0(2t) + ¹/₂a (2t)²

s₂ =  ¹/₂a x 4t²

s₂ = 4 (¹/₂at²)

s₂ = 4(s₁)

Truck distance = four times car distance

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

d. four times as far

the small 0.38-kg slider is known to move from position a to position b along the vertical-plane slot. determine (a) the work done on the body by its weight and (b) the work done on the body by the spring. the distance r = 0.70 m, the spring modulus k = 154 n/m, and the unstretched length of the spring is 0.53 m

explanation:

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