Answer:
a)
b)
Explanation:
From the exercise we got our <u>initial data</u>
a) To find <u><em>maximum height</em></u> we know that at that point
Solving for y
b) Since we know that the ball strikes the fairway 190 m away
Solving for t
Now, we can calculate the speed of the ball in both axes
The <em>negative</em> sign means the direction of the ball at that point.
The initial velocity of go-kart is 2.5 m/s.
<u>Explanation:</u>
Here, the uniform acceleration of go-kart is given as 0.5 m/s². Also the time required by it to stop is also given as 5 s. As acceleration is the measure of change in velocity per unit time.
In this case, the velocity should be changed from a value to zero to come to rest. So the initial velocity will be positive value and final velocity is zero.
As we know the values of acceleration, final velocity and time, the initial velocity can be easily determined as follows.
Since, final velocity is zero, acceleration is 0.5 m/s² and time is 5 s, then,
Initial velocity = 0.5 × 5 = 2.5 m/s.
So the initial velocity of go-kart is 2.5 m/s.