A ball is thrown upwards and reaches the ground once again after 7sec how can I calc the total distance covered by the ball.
distance up equals distance down
time up equals time down
3.5 s to peak
g = 9.8 m/s²
average velocity = (3.5 * 9.8) / 2
total distance = (ave vel) * 7
total distance =ave velocity *7
34.3/2 *7
=17.15* 7
=120.05 m
To calculate the total distance covered by the ball, you need to consider two parts of the ball's trajectory: the upward journey and the downward journey.
First, let's calculate the time it takes for the ball to reach its peak height. Since the time it takes for the ball to reach the ground again is 7 seconds, the time it takes for the ball to reach its peak height will be half of that time, which is 3.5 seconds.
Using the equation d = v*t + 0.5*a*t^2, where d is the distance covered, v is the initial velocity, t is the time taken, and a is the acceleration, we can calculate the distance covered during the upward journey.
In this case, when the ball is thrown upwards, its initial velocity is positive (since it is moving against gravity), and the acceleration is negative due to gravity (-9.8 m/s^2).
Now, let's calculate the distance covered during the upward journey:
d1 = v*t1 + 0.5*a*t1^2
where d1 is the distance covered during the upward journey, v is the initial velocity, t1 is the time taken for the upward journey, and a is the acceleration.
Substituting the values:
d1 = v*3.5 + 0.5*(-9.8)*(3.5)^2
Next, we need to calculate the time taken for the ball to come back down, which is also 3.5 seconds. During this time, the ball moves with the force of gravity, so the acceleration is positive (+9.8 m/s^2).
Now, let's calculate the distance covered during the downward journey:
d2 = 0 + 0.5*a*t2^2
where d2 is the distance covered during the downward journey, t2 is the time taken for the downward journey, and a is the acceleration.
Substituting the values:
d2 = 0 + 0.5*(9.8)*(3.5)^2
Finally, to calculate the total distance covered by the ball:
Total distance = d1 + d2
By plugging in the calculated values for d1 and d2, you can find the total distance covered by the ball.