A ball is thrown into the air with a velocity of 35 ft/s. Its height, in feet, after t seconds is given by s(t) = 35t − 16t2.
Find the velocity (in ft/s) of the ball at time
t = 1 second.

Answer explained below

Step-by-step explanation:

the equation of motion when an object is accelerated is given by:

where

x - is the current position(or displacement) of the body

x0 is the initial position

v0 is the initial velocity

a is acceleration

t is time

We rewrite the equation

which is similar to the equation above, which means we can rewrite the following equation like this:

so, in our case:

x0 = 0

v0 = 35 m/s

Now, since this is an accelerated motion it means that the velocity of the body changes as well due to acceleration with the equation:

acceleration is negative, therefore:

t = 1 results:

total amount to be paid = $19.5

step-by-step explanation:

given ,

original price = $25.99

discount = 25%

discount amount = 25% of original price

discount amount = 25/100   * 25.99

discount amount = $6.49

hence , the total amount to be paid = original price - discount amount

                                                            = $25.99 - $6.49

                                                            =$19.5

total amount to be paid = $19.5

2/3

step-by-step explanation: