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formula for average speed
the distance divided by the time of travel, s=d/t
what time goes up, what does down?
the speed
instantaneous speed
the rate at which distance is covered at any given time
how is instantaneous speed found
by computing average speed for a very short interval of time
velocity
speed AND direction
vector
anything where size and direction matters, shows direction of magnitude
acceleration
the rate at which velocity changes
formula for acceleration
a=Δv/t or acceleration=change in velocity/elapsed time
formula for calculating distance
d=(1/2)at²
formula for calculating distance if the object was already in motion
d=v0t + (1/2)at²
what does gravity cause
acceleration
since gravity causes acceleration, what will happen to velocity?
velocity will continue to increase at a steady rate
since gravity causes acceleration, what will happen to speed?
speed will increase at an exponential rate
significant figures
whenever you’re adding multiplying, or dividing number’s together, you cannot use more than the number of digits of the smallest number in expressing the answer
what is the (non-approximate) gravitational acceleration?
g=9.8m/s²
what is the approximate gravitational acceleration?
10m/s²
to calculate, if someone is throwing a ball upward, what do we need to know?
we need to know with what velocity he is throwing the ball
trajectory
when something moves forward against gravity
for trajectory, how is velocity calculated?
by adding the vertical component of velocity to the horizontal component of velocity
for calculating velocity values in gravity tables and stuff, the formula is
v=v0 + at
we add the change in velocity (at) to the initial velocity (v0)
for calculating distance values in gravity tables and stuff, the formula is
d=v0t + (1/2)at²
(v0t) is the distance the ball would travel if it continued to move with just it’s original velocity
(1/2)at² is due to acceleration