Tom is sladding down a hill. His sled starts from rest, and undergoes a uniform acceleration of 2.0 m/s2 down the slope. What is his speed after 1 second?, after 2 seconds? after 3 seconds?
jiini
To find Tom's speed after a given time, we can use the kinematic equation for uniform acceleration:
v = u + at
Where:
v = final velocity (speed)
u = initial velocity (speed)
a = acceleration
t = time
In this case, Tom's sled starts from rest, so the initial velocity (u) is 0 m/s. The acceleration (a) is given as 2.0 m/s².
Let's calculate his speed after each time interval:
After 1 second:
v = u + at
v = 0 + (2.0 × 1)
v = 2.0 m/s
After 2 seconds:
v = u + at
v = 0 + (2.0 × 2)
v = 4.0 m/s
After 3 seconds:
v = u + at
v = 0 + (2.0 × 3)
v = 6.0 m/s
Thus, Tom's speed after 1 second is 2.0 m/s, after 2 seconds is 4.0 m/s, and after 3 seconds is 6.0 m/s.