a car with an initial velocity of 20m/s also accelerates at 1m/s2. find its displacement after the first 10seconds in m.

Sagot :

Answer:

The displacement is 250 m.

Explanation:

In this problem, we are to solve the displacement of a car using the constant acceleration formula

x = V₀t + ¹/₂at²

where

x     is the displacement, the unit is in meter

V₀   is the initial velocity, the unit is in m/s

a     is the acceleration, the unit is in m/s²

t      is the time, the unit is in seconds

Given information

V₀ = 20 m/s

a = 1 m/s²

t = 10 s

x = ?

Solving the problem

Let us solve for the displacement using the given formula

x = V₀t + ¹/₂at²

Then, substitute the given data

x = (20 m/s)(10 s) + ¹/₂(1 m/s²)(10 s)²

x = 200 m + 50 m

x = 250 m

Therefore, the displacement of the car is 250 m.

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