A toy car is moving in a straight line with a constant acceleration of 6m/s^2. as it passes a point X , its speed is 20ms. what is its speed 10 seconds after passing X?
To find the speed of the toy car 10 seconds after passing point X, we first need to find its initial speed.
The initial speed can be calculated by rearranging the equation for speed:
v = u + at
where:
v is the final speed,
u is the initial speed,
a is the acceleration, and
t is the time.
Given:
Acceleration, a = 6 m/s^2
Final speed, v = 20 m/s
Time, t = 0 sec (at point X)
We can rearrange the equation to find the initial speed:
u = v - at
Substituting the values:
u = 20 m/s - 6 m/s^2 * 0 sec
u = 20 m/s
Therefore, the initial speed of the toy car is 20 m/s.
Now, we can find the speed of the car 10 seconds after passing point X by using the equation for speed again:
v = u + at
Substituting the values:
v = 20 m/s + 6 m/s^2 * 10 sec
v = 20 m/s + 60 m/s
v = 80 m/s
Therefore, the speed of the car 10 seconds after passing point X is 80 m/s.