## Answers

a.-

To reach the highest point, the final speed should be zero, so:

**ANSWER**

b.-

And the maximum height above the ground is:

**ANSWER**

c.-

The time to complete the parable movement is:

And the speed at this time is:

And the time from here to hit the ground is:

The complete time is:

**ANSWER**

d.-

The horizontal component of the movment is constant, so:

**ANSWER**

e.-

**ANSWER:** When the ball reaches its maximum height the speed is zero. So, from here, it starts a free fall movement until it hits the ground. **So the acceleration at this time is the gravity.**

*I hope it helps!!*

To reach the highest point, the final speed should be zero, so: v_f = v_0 - gt 0 = v_0 - gt v_0 = gt t = v_0/g t = (63 m/s) sin 50/9.8 m/s^2 ANSWER t = 4.92s b.- v_f^2 = v_0^2 - 2gy v_0^2 = 2 gy y = v_0^2/2g y = [(63 m/s) sin 50]^2/2 (9.8 m/s^2) y = 118.83m And the maximum height above the ground is: y = 118.83m + 80m ANSWER y = 198.83m c.- The time to complete the parable movement is: t = 2 t_max t = 2 (4.92s) t = 9.84s And the speed at this time is: v_f = v_0 + gt v_f = 0 + (9.8 m/s)(4.92 s) v_f = 48.22 m/s And the time from here to hit the ground is: v_f = v_0 + gt t = v_0/g t = 48.22 m/a/9.8 m/s^2 t = 4.92s The complete time is: t = 4.92s + 9.84s ANSWER t = 14.76s

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