IB Physics SL A.1.8 Projectile components
Resolve projectile motion into horizontal and vertical components so you can find flight time, range, speed or height.
- Syllabus
- First assessment 2025
- Objective
- —
- Level
- SL
Resolve projectile motion into horizontal and vertical components so you can find flight time, range, speed or height.
A student strikes a tennis ball that is initially at rest so that it leaves the racquet at a speed of 64 m s−1. The ball has a mass of 0.058 kg and the contact between the ball and the racquet lasts for 25 ms .
The student strikes the tennis ball at point P . The tennis ball is initially directed at an angle of 7.00∘ to the horizontal.

The following data are available.

Calculate the time it takes the tennis ball to reach the net.
horizontal component of velocity is 64.0×cos7∘=63.52<ms−1≫t=<63.5211.9=>0.187/0.19<s≫
Marking guidance:
Do not award BCA. Check working. Do not award ECF from using 64 m s−1.
Show that the tennis ball passes over the net.
ALTERNATIVE 1
uy=64sin7/7.80<ms−1≫
decrease in height =7.80×0.187+21×9.81×0.1872/1.63 «m»
final height = « 2.80-1.63 » =1.1 / 1.2 «m»
«higher than net so goes over»
ALTERNATIVE 2
vertical distance to fall to net «=2.80-0.91 »=1.89 «m»
time to fall this distance found using <1.89=7.8t+21×9.81×t2 »
t=0.21 «s»
0.21 «s» > 0.187 «s»
«reaches the net before it has fallen far enough so goes over»
Other alternatives are possible