# A train accelerates at #-1.5# #m##/##s^2# for #10# seconds. If the train had an initial speed of #32# #m##/##s#, what is its new speed?

The new sped is

Utilize the equation of motion.

The ultimate velocity is

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We can solve this by using the kinematic equation

Where,

Hope this helps....God bless ☻

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- An object's two dimensional velocity is given by #v(t) = ( sqrt(3t)-t , t^2-5t)#. What is the object's rate and direction of acceleration at #t=2 #?
- If an object with uniform acceleration (or deceleration) has a speed of #5 m/s# at #t=0# and moves a total of 15 m by #t=12#, what was the object's rate of acceleration?
- A bowling ball and a tennis ball are dropped at the same time. Ignoring wind resistance, which one will hit the ground first? Which will hit at a higher speed? What will be their accelerations?
- An object travels North at #7 m/s# for #3 s# and then travels South at #9 m/s# for # 2 s#. What are the object's average speed and velocity?
- An object has a mass of #3 kg#. The object's kinetic energy uniformly changes from #48 KJ# to # 32KJ# over #t in [0,6s]#. What is the average speed of the object?

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