打(う)ち上(あ)げるto launch, to shoot up, (of waves) to dash, to wash up (ashore), to finish (e.g. a theater run, sumo tournament), to close, to report (to boss, etc.)

NASAがロケットを打(う)ち上(あ)げました。

NASA launched a rocket. {to launch, to shoot up, (of waves) to dash, to wash up (ashore), to finish (e.g. a theater run, sumo tournament), to close, to report (to boss, etc.)}

イルカが海岸(かいがん)に打(う)ち上(あ)げられてしまいました。

The dolphin has washed up on the shore. {to launch, to shoot up, (of waves) to dash, to wash up (ashore), to finish (e.g. a theater run, sumo tournament), to close, to report (to boss, etc.)}

台風(たいふう)による強風(きょうふう)のせいで大波(おおなみ)が打(う)ち上(あ)げています。

Due to the strong winds caused by the typhoon, large waves are dashing up. {to launch, to shoot up, (of waves) to dash, to wash up (ashore), to finish (e.g. a theater run, sumo tournament), to close, to report (to boss, etc.)}

バッドで空(そら)高(たか)くボールを打(う)ち上(あ)げた時(とき)の快感(かいかん)といったらない。

There's no comparing to the thrill of launching the ball high into the sky with a bat. {to launch, to shoot up, (of waves) to dash, to wash up (ashore), to finish (e.g. a theater run, sumo tournament), to close, to report (to boss, etc.)}

花火(はなび)を打(う)ち上(あ)げて初(はじ)めて、自分(じぶん)が作(つく)った花火(はなび)を見(み)ることが出来(でき)ました。

I was able to see the fireworks I made for the first time after launching them. {to launch, to shoot up, (of waves) to dash, to wash up (ashore), to finish (e.g. a theater run, sumo tournament), to close, to report (to boss, etc.)}